Relating Trigonometric Functions

Topic Page

Questions

• What does it mean to find the sign of a trigonometric function and how do you find it?
• What are the reciprocal identities of trigonometric functions?
• What are the quotient identities for a trigonometric functions?
• What are the cofunction identities and reflection properties for trigonometric functions?
• What is the pythagorean identity?
• If #sec theta = 4#, how do you use the reciprocal identity to find #cos theta#?
• How do you find the domain and range of sine, cosine, and tangent?
• What quadrant does #cot 325^@# lie in and what is the sign?
• How do you use use quotient identities to explain why the tangent and cotangent function have positive values for angles in the third quadrant?
• How do you show that #1+tan^2 theta = sec ^2 theta#?
• If tan x=1, how do you find sin x/2 , cos x/2 , and tan x/2?
• If #tan (x) =5/12#, then what is sin x and cos x?
• If #tan x = .67#, what is cot x?
• If #tan x= 2/7#, how do you find sec x and x lies in the 3rd quadrant so both are negative?
• If #tan x = .88#, what is cot x?
• If sin x = 0.6, what is the value of cos x?
• If #sin theta < 0# and #tan theta > 0#, then in what quadrant is the angle theta?
• How do you find the exact value of: #sin 0 + cos 0 + tan 0#?
• If #tan(theta) = 3/4# and #sin(theta) < 0#, how do you find #cos(theta)#?
• If #tanx= -2/9# and #sinx>0# what are the remaining trigonometric functions?
• If# tan A = .3# and A is in Q1, how do you go about finding sin A and cos A?
• What is sin and cos if# tan = 1/2# and #sin >0#?
• If #tanx=-2/9# #sinx>0#, how do you find the sin, cos, sec, csc, and cot?
• If #cos A = 5/13#, how do you find sinA and tanA?
• If #cot theta = - 2# and #cos theta < 0#, how do you find #sintheta#?
• If #sin x= 4/5#, how do you find cos x?
• What is sin(x)+cos(x) in terms of sine?
• Angle A is in standard position with its terminal arm in quadrant III, the Trigonometry ratio sinA=-3/7 is given, how do you find the values of the other ratios?
• If an angle is in standard position and P(-3,4) is a point on the terminal side of , what is the value of sin?
• If I have a triangle where #cos u = -5/7# and #sin u >0#, how do I find the sine, tangent, cotangent, secant, and cosecant of the angle u?
• If sin=3/5 what is cos,tan,csc, sec,cot?
• How do you find tan and cot if cot = 12/5 and sin <0?
• If #tan theta= -sqrt3#, what is the value of #cottheta#?
• If #csc theta=4/3#, what is the sin, cos, tan, sec, and cot?
• How do you find the exact value of sin (x) when cos (x) = 3/5 and the terminal side of x is in quadrant 4?
• If cosx= 2/5 what is sine, tangent, secant, cosecant, and cotangent??
• How do you rewrite #y=-4cos(2x+(pi/2))+1# as a sine function?
• How do you find #cos(theta)# if #sin(theta)= 3/5# and #90 < theta < 180#?
• If #sin A = 1/3# and 0< A < 90, then what is cos A?
• Suppose #sin(x) = 9/11# and that #90 < x < 180, how do you find cos(x) and tan (x)?
• If #cotx= -3/4# and #90<x<180#, what is sinx?
• How do you find sinx and cosx given P (5/13, -12/13)?
• How do you find the exact values of the remaining five trigonometric functions of angle, given csc of the angle is -4?
• How do you find the values of the other trigonometric functions of theta from the information given #tan theta = −3#, and #sin theta > 0#?
• How do you find all six trigonometric functions of theta if the given point (0, −5) is on the terminal side of θ?
• How do you find #tan theta# if #sin theta=sqrt7/4#, #cos theta =3/4#?
• How do you find the exact values of the six trigonometric functions of theta given (24, -7)?
• How do you find the values of the other trigonometric functions of θ from the information given #cos theta = − 5/13# , and theta is in quadrant III?
• How do you find the values of the other trigonometric functions of θ from the information given #cos θ = − 5/8# , #tan θ < 0#?
• If the point P on the unit circle that corresponds to a real number t is: #[5/7, - 2sqrt(6)/7]#, how do you find csc(t)?
• If the point P on the unit circle that corresponds to a real number t is: #[ - sqrt(7)/4, - 3/4]#, how do you find the cot(t)?
• How do you find the values of the trigonometric functions of θ from the information given #cos(theta) = -8/19#, and theta is in quadrant III?
• How do you find θ, if #0 < θ < 360# and #cos theta = -1/sqrt2 # and theta in in Qii?
• How do you find θ, if #0 < θ < 360# and #cos theta = -1/sqrt2 # and theta in in Qii?
• How do you find θ, if #0 < θ < 360# and #tan theta = sqrt3 # and theta in in QIII?
• How do you find θ, if #0 < θ < 360# and #cot theta =-1 # and theta in in QIV?
• How do you find tan x/2 ; given #sin x= 3/5#, with# 90<x<180#?
• Given that #sin(theta) = -4/5#, how do you find the two possible angles for θ, given that #-pi < theta ≤ pi#?
• How do you find the exact value of #sin (x/2)# and #cos (x/2)# #if cos x= - 1/4# and #pi< x<2pi#?
• Given #sin(θ) = (sqrt(5 - sqrt(5)))/5# and #cos(θ) > 0# how do you use identities to find the exact functional value of #tan theta#?
• Identify the quadrant or quadrants in which an angle A in standard position must be if csc A > 0 and tan A < 0?
• How do you find the terminal point p(x,y) on the unit circle determined by the giving value of #t= (-3pi)/4#?
• How do you simplify Cotangent(Arcsin)?
• How do you find the value of cotθ if cosθ = -4/5?
• If #sin theta = 4/5#, how do you find #csc theta#?
• If #sin theta = -5/13# and #cos theta = -12/13#, how do you find #cot theta#?
• How do you find #sin theta# if #cos theta = 3/5# and theta terminates in Q 1?
• If #tan theta = 2#, how do you find #tan^3theta#?
• How do you find the remaining trigonometric ratios if #tan(alpha) = 9# and #0 < alpha < pi/2#?
• How do you find the remaining trigonometric ratios if #sec(theta) = -3.5# and #pi/2< theta < pi#?
• How do you find cos(t) if t is in the 3rd quadrant and tan(t)= 3?
• How do you find cos 8(pi) by referring to the graph of the sine or cosine function?
• How do you find sin 7(pi) / 2 by referring to the graph of the sine or cosine function?
• Using the graphs to find the value of x, is sin x cos x > 1 a true statement?
• If tan A + sec A = 4, what is CosA?
• If the point (3/5,4/5) corresponds to an angle in the unit circle, what is csc x?
• For an angle Θ with the point (12, -5) on its terminating side, what is the value of cosine?
• The point #P(x, y)# is on the unit circle in quad IV, if #x= sqrt(11)/6#, how do you find #y#?
• If (-4,1) is a point of the terminal side of angle in standard position evaluate all 6 trig functions of pheta in simplest radical form?
• How do you tell whether the value of cos [(pi)/4] is positive, negative, zero or undefined?
• How do you tell whether the value of cos [5(pi)/4] is positive, negative, zero or undefined?
• How do you tell whether the value of tan 90 degrees is positive, negative, zero or undefined?
• How do you tell whether the value of sin (-45 degrees) is positive, negative, zero or undefined?
• Given #cosx = -3/5# and #0<x<180#, what is #tan(x+45)#?
• Given secθ=6/5 and tanθ<0, how do you find the values of the other five trigonometric functions?
• How do you find the value of the other five trigonometric functions, given tan x=4/11, sec x< 0?
• How do you find the values of the 6 trigonometric functions of an angle in standard position if the point with coordinates (10,24) lies on its terminal side?
• Given sin theta = 2/3 and pi/2<theta<pi how do you find the value of other 5 other trigonometric functions?
• If sinB=3/4 and the terminal side of the angle is in quadrant II, how do you find the other five trigonometric functions of B?
• If #tan A + sec A = 4# how do you find the value of cos A?
• How do you simplify # cot(x) *sec(x)#?
• How do you simplify # sec^2x (1-sin^2x)#?
• How do you simplify #cos^2B / (1-sinB)#?
• How do you simplify # csc Y / sec Y #?
• How do you simplify #sin A (cscA-sinA)#?
• How do you simplify #tan^4 theta + 2tan^2 theta + 1 #?
• How do you simplify #(sin theta + cos theta) ^2 #?
• How do you simplify #secxsin(pi/2-x)#?
• Suppose in a right triangle, cos(t)=3/4. How do you find: Sin(t)?
• Suppose in a right triangle, cos(t)=3/4. How do you find: cot(t)?
• What is #cosΘ# if #tanΘ = 6/17#?
• If sinA = -2/5 and tan θ > 0, then what are the five other trigonometric ratios?
• How do you find the exact value of cos(theta) if sin(theta)=-2/3?
• Which of the following is coterminal with 237 degrees?
• How do you determine all trigonometric ratios given sinθ=2/3 ?
• How do you determine all trigonometric ratios given #secθ=6/5#?
• How do you determine all trigonometric ratios given cotθ=11/7?
• How do you find sin 2θ, given cos θ = 5/13 and θ lies in Quadrant IV?
• How do you simplify #(tan(x)+cos(x)) / sec^2(x)#?
• How do you find sin, cos, tan, sec, csc, and cot given (-3,5)?
• How do you find sin, cos, tan, sec, csc, and cot given (-4,-4)?
• How do you find sin, cos, tan, sec, csc, and cot given (0,6)?
• If cot x = 2/3 , what is tan x?
• How do you find sin if tan=2?
• How do you find cos if sin= 5/13?
• How do you find cos if tan=3/4?
• If sin(t)=0.8 and cos(t)=0.6. what is sin(t)+cos(-t)+sin(-t+2pi)?
• How do you simplify #((sin x) ^3 - (cos x) ^3)/(tan x)^3#?
• If the tan(x)=3/2 in quadrant III, what is the trigonometric value of the sec(x)?
• If sec(t) = 3, how do you find the exact value of cos(t)?
• If sec(t) = 3, how do you find the exact value of #tan^2 (t)#?
• If sec(t) = 3, how do you find the exact value of #csc(90 - t )#?
• If sec(t) = 3, how do you find the exact value of #sin^2 (t)#?
• How do you find tan2A, given sin A = 3/5 and A is in QII?
• How do you find sec 2x, given tan x = 5/3 and sin x< 0?
• How do you find cos 2x, given cot x = 3/5 and csc x < 0?
• How do you find cot 2B, given sin B = 12/13 and cos B < 0?
• How do you find sin 2x, given tan x = -2 and cos x > 0?
• Given cos x = -3/4 and sin x is negative, what are the values of the remaining trigonometric functions?
• How do you prove #cos (pi/7) cos ((2pi)/7) cos ((3pi)/7) = 1/8#?
• Given #cos(2pi/5) = (sqrt(5)-1)/4#, what is cos(3pi/5)?
• Question #954f6
• Question #fe620
• What happens if I use #cos# repeatedly?
• Question #978dc
• Why is cos(4pi/3) = - cos(pi/3)?
• If Cos(t)=-7/8 with #pi<=t<=3pi/2#, how do you find the value of cos(2t)?
• If Cos(t)=-7/8 with #pi<=t<=3pi/2#, how do you find the value of sin(2t)?
• If #cos(t)=-7/8# with #pi<=t<=3pi/2#, how do you find the value of #cos(t/2)#?
• If Cos(t)=-7/8 with #pi<=t<=3pi/2#, how do you find the value of sin(t/2)?
• If sin θ = 1/2 and angle θ is acute, how do you find the other five ratios?
• Question #9a3ca
• Given Cotx=5, how do you find sin (x/2), cos (x/2), tan (x/2)?
• If sin x = -2/3 and x is in the third quadrant, how do you find the value of sin 2x?
• If sin(x) = 2/3, what is tan(2x)?
• If Sin x - cos x = 1/3 , what is sin 3x + cos 3x?
• How do you find sin(x/2), cos(x/2), and tan(x/2) from the given Cot(x) = 13?
• Given Csc(x)=8; how do you find sin x/2, cos x/2, tan x/2?
• How do you find the exact values of sin(theta/2), cos(theta) where cos theta=4/5 0<=theta<=pi/2?
• How do you find the exact value of cos (theta/2), given that csc theta = - 3/2 and tan theta > 0?
• If sin theta=4/5 and theta is in quadrant 2, what is the value of tan theta?
• If cot theta=1.5 and theta is in quadrant 3, what is the value of sin theta?
• If #Sin(theta) - Cos(theta) = -sqrt(2) sin(theta)#, what is #Sin(theta) + Cos (theta)#?
• How do you find sin theta if cos theta = 3/5?
• If #Sin theta = 5/13#, theta in quadrant II, how do you find the exact value of each of the remaining trigonometric functions of theta?
• If #sin theta = 1/4#, theta in quadrant 2, how do you find the exact value of #sin(theta - pi/3)#?
• If sin of theta equals 3/8 and theta is in quadrant II. what are cos, tan, csc, cot, and sec of theta?
• If sin theta = -15/17 and theta is in the fourth quadrant, what is sec theta?
• If #sin theta = sqrt5/3# then what is #cos 2 theta#?
• If sin theta=3/5 and theta has its terminal side in quadrant II, how do you find the exact value of tan 2 theta?
• If sin theta = 3/5 and theta is acute, how do you calculate cos theta and tan theta?
• If sin=0.4, what is #sin(-theta) + csc theta#?
• If cos=(-5/13), #tan theta > 0#, what is #sin theta#?
• If cos=0.4, what is #cos(theta + pi)#?
• If sin =0.45, what is #cos(pi/2-theta)#?
• If sin theta = 8/17 and cos theta= 15/17, then what is tan theta?
• If #Cos(theta)= 2/3# then what is #cos(theta + pi)#?
• Given #csc^(2)(theta)=(7/2)# what is #cot^(2)(theta)#?
• If: csc (θ) = 5 then, what does sec(90° - θ) equal?
• Given that t is in quadrant II and sin(t)=(7/25), how do you find the exact values of cos(t), tan(t), cot(t), sec(t), and csc(t)?
• If sin ø = .6 and cos ø >0, find sin 2ø and cos ø/2?
• Given #Sec θ=9#, what are the other trig functions given tanθ<0?
• Suppose cos(x) = u, how do you write tan(x) in terms of x?
• How do you evaluate #csc (36) / sec (64)#?
• How do you evaluate #sec (40) * sin (50)#?
• How do you evaluate #-1 - cos^2(74) - sin^2 (74)#?
• Question #e50ba
• If cosh(x)=25/24 and x>0, how do you find the values of the other hyperbolic functions at x?
• Given that #cosh3x+3coshx=4cosh^3x# how do you show that #k^3 = 3k - 4# has a root in between #-3# and #-2# and choose a suitable value of #y# for #k=ycoshx# and calculate the root?
• If #xsinh w + ycosh w =1 and xcosh w - ysinh w=1#, how do you show that #(x^2 + y^2)^2 - 4xy = 0#?
• If #tanhx=12/13#, how do you find the values of the other hyperbolic functions at x?
• If #sinh x = 3/2#, how do you find exact values for cosh x and tanh x?
• If #tanh x =7/25# how do you find the values of the other hyperbolic functions at x?
• If coshx = (5/3) and x>0, how do you find the values of other hyperbolic functions at x?
• If tanh(x) = 4/5, how do you find the values of the other hyperbolic functions at x?
• Question #480a9
• If cos theta = 5/13, theta in quadrant II, how do you find sin theta and tan theta?
• If #tan theta = 24/7#, #180 < theta < 270# how do you find #cos theta#?
• If #cos theta=4/5#, #0<=theta=<pi/2#, how do you find #sin theta#?
• If #tan theta=sqrt(3)#, what are the other values?
• If #cos theta = -1/sqrt(3)# and theta is in the first quadrant, find sin theta, tan theta, and sec theta?
• If #cos theta=-3/4# and tan theta is negative, how do you find the value of sin theta?
• Given #sin theta = (-12/13)#, and #cos theta > 0#, how do you find the exact values of sin(2theta) and cos(2theta)?
• If #cos(theta) = (x-1)/(x+1)#, what is sin and tan of theta?
• If #Cos(theta) = 0#, how do you find sec(theta)?
• If #cos theta =1/6# and theta is acute, how do you find #cot(pi/2 - theta)#?
• If cos >0 and sin <0 what quadrant is it in?
• Given #sin theta=3/5# and #cos theta=4/5#, how do you find #tan theta#?
• How do you prove #sin theta = 0# and #cos theta = 1#?
• If #sin(theta)=1/3#, what is #tan(theta)#?
• Which quadrant does θ lie, if sin θ > 0 and sec θ < 0?
• Which quadrant does θ lie, if cot θ < 0 and sin θ< 0?
• What is sin(0) divided by sin(0)?
• If Cos 12/13, Sin<0, how do you find tan in simplest form?
• How do you solve #Sin(3x) - sin(6x) = 0#?
• If sin A > 0 and tan A < 0, then A is in what quadrant?
• If #Cot > theta#, #sin<theta# what quadrant does theta lie?
• How do you find the values of the trigonometric functions of θ from the information given cot θ = 1/4, sin θ < 0?
• If cos(x) = (1/4), where x lies in quadrant 4, how do you find sin(x)?
• If cos(x) = (1/4), where x lies in quadrant 4, how do you find sin(x - pi/6)?
• If cos(x) = (1/4), where x lies in quadrant 4, how do you find cos(x + pi/3)?
• If cos(x) = (1/4), where x lies in quadrant 4, how do you find tan(x - pi/4)?
• How do you find the exact value of 6 trig function given a point #(-sqrt5, 2)#?
• How do you find the exact values of other 5 trigonometric functions given sin u = -5/13 and cos u>0?
• How do you find the exact values of other 5 trigonometric functions given csc B = -6/5 and cot B > 0?
• If angle x is an acute angle and cos x = t, how do you express cos (180 - x) in terms of t?
• If cos x = 12/13 and x is an acute angle, how do you find the value of cos (180 - x)?
• If csc A= -5/3 and csc B = -13/5 with angle A and angle B in quadrant 3. What is value of cos(A-B)?
• How do you determine the value of tan B if tan(135 deg + B) =5?
• How do you express 8sinxcosx in terms of single trig function?
• If sin A=2/3 cos B=3/4, angle A is in quadrant 2 and angle B is in quadrant 4. How do you evaluate sin(A-B) without find A and B?
• Let θ be an angle in quadrant II such that sinθ= (1/4), how do you find the values of secθ and tanθ?
• How do you find Sin(ø) if Sec(ø)= -10/7, ø is in quadrant 3?
• If sec x=3 and tan x=2sqrt 2, what are the values of sin x and cos ^2 x?
• How do you find the cos of theta if sin of theta=1/4 and 0<theta<pi/2?
• How do you find the cos of theta if #abs(sintheta)=1#?
• How do you find the sin of theta if sin of theta is radical 5 times cos of theta and 0<theta<pi/2?
• How do you find the tangent of theta is cotangent of theta is 3?
• How do you find the #csc# of #theta# if #cottheta=1# and #pi<theta<3/2pi#?
• Given sin x = 5 / 7, how do you find sin 2x, cos 2x, and tan 2x?
• Given: cos(x/4)=a and cos(y/3)+b, how do you find cos(x/4+y/3) in terms of a and b?
• How do you solve #sin 4beta = cos 5beta#?
• If sinx = -3/5, x is in quadrant III, then how do you find sin2x?
• If sinx = -3/5, x is in quadrant III, then how do you find cos2x?
• If sinx = -3/5, x is in quadrant III, then how do you find tan2x?
• If tanx= -1/3, cos>0, then how do you find tan2x?
• If tanx= -1/3, cos>0, then how do you find cos2x?
• If tanx= -1/3, cos>0, then how do you find sin2x?
• Given sin x = 4/7 and #cos x = -sqrt33/7#, how do you find cot x?
• How do you rewrite the expression as a single log and simplify ln|sin θ| - ln|cos θ|?
• How do you verify #(1 + sin x) /( cos x sin x )= sec x(csc x + 1)#?
• How do you verify #(tan^2x + 1) / tan^2x = csc^2x#?
• Given #cos(x) = -3/-7# and #pi/2 < x < pi#, how do you find #cos(x/2)#?
• If #sintheta=3/5#, what is #costheta + cottheta#?
• Question #62169
• Given Tangent Theta= -4/5, Theta in quadrant 2 , how do you find Cos Theta?
• Given a positive angle theta in standard position with the terminal side passing through (1, -3). How do you find the six trigonometric functions of theta?
• How do you find the product of all six trigonometric functions of an angle theta in standard position whose terminal side passes through #(- sqrt 3, 1)#?
• How do you find the other five trigonometric values given cos t = 5/13 and sin t > 0?
• How do you find the other five trigonometric values given cos x = 8/17 and tan x<0?
• How do you find the other five trigonometric values given csc b = -6/5 and cot b > 0?
• How do you use fundamental identities to find the values of the trigonometric values given tan(t) = -2.87 and csc(t) < 0?
• How do you use fundamental identities to find the values of the trigonometric values given tan theta = -12/5 and cos theta> 0?
• How do you use fundamental identities to find the values of the trigonometric values given θ be an angle in quadrant III, such that cot θ = (√11)/(5)?
• How do you use fundamental identities to find the values of the trigonometric values given sinx = -12/13 and cot > 0?
• How do you use fundamental identities to find the values of the trigonometric values given sin X = - 5/13 and tan X > 0?
• How do you use fundamental identities to find the values of the trigonometric values given angle in quadrant III, such that sec(x) = -3?
• How do you use fundamental identities to find the values of the trigonometric values given angle in quadrant 4 such that csc (theta)= -5/2?
• How do you find cos(x/2) given sin(x)=1/4?
• If #sintheta=1/3# and #theta# is in quadrant I, how do you evaluate #sin2theta#?
• If #sintheta=1/3# and #theta# is in quadrant I, how do you evaluate #cos2theta#?
• If #sintheta=1/3# and #theta# is in quadrant I, how do you evaluate #tan2theta#?
• Question #2daa7
• Question #32f48
• Question #d8c45
• Question #bab77
• Question #bab8a
• Question #ce9db
• I am confused why cos (arccos 3π) has an answer of undefined. I see that arccos (cos 2π) is outside the range too, but you end up with arccos(cos 2π)=0? Why wouldn't the second one be undefined too?
• If #sin x + "cosec" x = 2#, then find #sin^n x + "cosec" ^n x# ?
• How do you find #theta#?
• Question #153fd
• Question #ac026
• How do you find the exact values of #sintheta# and #tantheta# when #costheta=1/2#?
• How do you find the exact values of #sintheta# and #tantheta# when #costheta=0#?
• How do you find the exact values of #sintheta# and #tantheta# when #costheta=2/5#?
• How do you find the exact values of #sintheta# and #tantheta# when #costheta=1#?
• How do you find the exact values of #costheta# and #tantheta# when #sintheta=1/2#?
• How do you find the exact values of #costheta# and #tantheta# when #sintheta=-1/2#?
• How do you find the exact values of #costheta# and #tantheta# when #sintheta=0#?
• How do you find the exact values of #costheta# and #tantheta# when #sintheta=-2/3#?
• How do you find the exact values of #costheta# and #tantheta# when #sintheta=1#?
• How do you find the exact values of #costheta# and #sintheta# when #tantheta=1/2#?
• How do you find the exact values of #costheta# and #sintheta# when #tantheta=-1/2#?
• How do you find the exact values of #costheta# and #sintheta# when #tantheta=0#?
• How do you find the exact values of #costheta# and #sintheta# when #tantheta=5/12#?
• How do you find the exact values of #costheta# and #sintheta# when #tantheta=1#?
• Does #sin180+sin45=sin225#?
• Does #tan300-tan30=tan270#?
• Does #cos180-cos60=cos120#?
• Does #cos240=(cos120)^2-(sin120)^2#?
• Solve the equation #5sin4x=2sin2x# if #0^@ <= x <= 360^@#?
• Question #9c537
• In the interval #90^@<=A<=360^@#, what's the smallest value of A for which #cotA# is undefined?
• How do you find the exact value of the five remaining trigonometric function given #costheta=3/5# and the angle is in standard position in quadrant IV?
• How do you find the exact value of the five remaining trigonometric function given #tantheta=-1/5# and the angle is in standard position in quadrant III?
• How do you find the exact value of the five remaining trigonometric function given #sintheta=1/3# and the angle is in standard position in quadrant II?
• How do you find the exact value of the five remaining trigonometric function given #cottheta=1/2# and the angle is in standard position in quadrant III?
• How do you find the exact value of the five remaining trigonometric function given #sectheta=-sqrt10# and the angle is in standard position in quadrant III?
• How do you find the exact value of the five remaining trigonometric function given #csctheta=-5# and the angle is in standard position in quadrant IV?
• Question #545b9
• Given the point #P(sqrt2/2, sqrt2/2)#, how do you find #sintheta# and #costheta#?
• Given the point #P(-3/5, 4/5)#, how do you find #sintheta# and #costheta#?
• Given the point #P(-12/13, -5/13)#, how do you find #sintheta# and #costheta#?
• Given the point #P(8/17, 15/17)#, how do you find #sintheta# and #costheta#?
• Given the point #P(sqrt3/2,-1/2)#, how do you find #sintheta# and #costheta#?
• Given the point #P(-1/2, sqrt3/2)#, how do you find #sintheta# and #costheta#?
• Given the point #P(0.6, 0.8)#, how do you find #sintheta# and #costheta#?
• What is the value of #costheta# if #sintheta=1/2# and #theta# is in #Q2#?
• If # tanA+secA=2 # then find #cosA #?
• Question #be72f
• How do you determine #sectheta# given #costheta=2/3,0^circ<theta<90^circ#?
• How do you determine #tantheta# given #cottheta=-sqrt5/2,pi/2<theta<pi#?
• How do you determine #costheta# given #sintheta=-1/5,pi<theta<(3pi)/2#?
• How do you express the value as a trigonometric function of an angle in Quadrant I given #cos((7pi)/3)#?
• How do you express the value as a trigonometric function of an angle in Quadrant I given #csc(-330^circ)#?
• How do you prove that #sinthetacostheta=cottheta# is not an identity by showing a counterexample?
• How do you prove that #sectheta/tantheta=sintheta# is not an identity by showing a counterexample?
• How do you prove that #sinx+cosx=1# is not an identity by showing a counterexample?
• How do you prove that #sinytany=cosy# is not an identity by showing a counterexample?
• How do you prove that #tan^2A+cot^2A=1# is not an identity by showing a counterexample?
• How do you find the value of #theta# for which #cos(theta+pi/2)# does not equal #costheta+cos(pi/2)#?
• How do you determine #csctheta# given #sintheta=2/5,0^circ<theta<90^circ#?
• How do you determine #cottheta# given #tantheta=sqrt3/4, 0<theta<pi/2#?
• How do you determine #costheta# given #sintheta=1/4,0<theta<pi/2#?
• How do you determine #sintheta# given #costheta=-2/3,90^circ<theta<180^circ#?
• How do you determine #cottheta# given #csctheta=sqrt11/3,pi/2<theta<pi#?
• How do you determine #tantheta# given #sectheta=-5/4, 90^circ<theta<180^circ#?
• How do you determine #tantheta# given #sintheta=-1/3, 180^circ<theta<270^circ#?
• How do you determine #costheta# given #tantheta=2/3, pi<theta<(3pi)/2#?
• How do you determine #sintheta# given #sectheta=-7/5, 180^circ<theta<270^circ#?
• How do you determine #tantheta# given #costheta=1/8, (3pi)/2<theta<2pi#?
• How do you determine #sintheta# given #cottheta=-4/3, 270^circ<theta<360^circ#?
• How do you determine #csctheta# given #cottheta=-8, (3pi)/2<theta<2pi#?
• How do you express #sin390^circ# as a trig function of an angle in Quadrant I?
• How do you express #cos((27pi)/8)# as a trig function of an angle in Quadrant I?
• How do you express #tan((19pi)/5)# as a trig function of an angle in Quadrant I?
• How do you express #csc((10pi)/3)# as a trig function of an angle in Quadrant I?
• How do you express #sec(-1290^circ)# as a trig function of an angle in Quadrant I?
• How do you express #cot(-660^circ)# as a trig function of an angle in Quadrant I?
• #7cosec theta -3 cot theta =7#,then what is the value of 7#cot theta-3 cosec theta # ?
• Question #78a09
• How do you use the unit circle to derive #sin(2pi-theta)#?
• How do you find cos 2x, given #sinx=1/5# and cos x <0?
• How do you find the exact value of #sin(alpha-beta)# if #sinalpha=-5/13# and #sinbeta=1/6# if the terminal side of #alpha# lies in QIII and the terminal side of #beta# lies in QI?
• Given cos A= 3/2 how do you find tan 2A?
• Question #415ce
• Question #78b7c
• Question #47049
• Given that #csctheta=-8/5# where #pi<theta<(3pi)/2#, how do you determine the exact value of #tantheta#?
• Question #dddb7
• If #sec theta + tan theta = P#, then what is #cos theta# equal to?
• If tan x=11/r and cos x=r/s what is the value of sin x?
• If #log_12 27 = a#, then what is #log_6 16#?
• Fill in the blank. Let θ be an angle in standard position, with (x, y) a point on the terminal side of θ and r = #sqrt(x^2 + y^2)≠ 0#?
• If #cosA=3/10# what is #tanA#?
• If #tanB=3# what is #sinB#?
• If #sinB=4/9# what is #tanB#?
• The terminal side of #theta# in standard position contains (-8,-15), how do you find the exact values of the six trigonometric functions of #theta#?
• The terminal side of #theta# in standard position contains (0,-4), how do you find the exact values of the six trigonometric functions of #theta#?
• The terminal side of #theta# in standard position contains (5,12), how do you find the exact values of the six trigonometric functions of #theta#?
• The terminal side of #theta# in standard position contains (-6,8), how do you find the exact values of the six trigonometric functions of #theta#?
• The terminal side of #theta# in standard position contains (3,0), how do you find the exact values of the six trigonometric functions of #theta#?
• The terminal side of #theta# in standard position contains (4,-2), how do you find the exact values of the six trigonometric functions of #theta#?
• How do you sketch the angle #300^circ# and find its reference angle?
• How do you sketch the angle #195^circ# and find its reference angle?
• How do you sketch the angle #285^circ# and find its reference angle?
• How do you sketch the angle #-250^circ# and find its reference angle?
• How do you sketch the angle #400^circ# and find its reference angle?
• In terms of x and y only, how would you write the following expression? #sin(tan^-1 x+cos^-1 y)#
• Question #6f53b
• The point (4,3) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point (8,-15) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point (-12,-5) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point (-1,1) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point #(-sqrt3,-1)# is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point #(-4,1)# is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point #(4,-4)# is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point #(7,24)# is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point #(8,15)# is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point #(-4,10)# is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point #(-5,-2)# is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• The point #(3 1/2, -7 3/4)# is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
• Given #sintheta>0# and #costheta>0#, which quadrant does #theta# lie?
• Given #sintheta>0# and #tantheta<0#, which quadrant does #theta# lie?
• Given #sectheta>0# and #cottheta<0#, which quadrant does #theta# lie?
• How do you find the values of the six trigonometric functions given #sintheta=3/5# and #theta# lies in Quadrant II?
• How do you find the values of the six trigonometric functions given #costheta=-4/5# and #theta# lies in Quadrant III?
• How do you find the values of the six trigonometric functions given #tantheta=-15/8# and #sintheta<0#?
• How do you find the values of the six trigonometric functions given #costheta=8/17# and #tantheta<0#?
• How do you find the values of the six trigonometric functions given #cottheta=-3# and #costheta>0#?
• How do you find the values of the six trigonometric functions given #csctheta=4# and #cottheta<0#?
• How do you find the values of the six trigonometric functions given #sectheta=-2# and #sintheta>0#?
• How do you find the values of the six trigonometric functions given #sintheta=0# and #sectheta=-1#?
• How do you find the values of the six trigonometric functions given #cottheta# is undefined and #pi/2<=theta<=(3pi)/2#?
• How do you find the values of the six trigonometric functions given #tantheta# is undefined and #pi<=theta<=2pi#?
• The terminal side of #theta# lies on the line #y=1/3x# in quadrant III, how do you find the values of the six trigonometric functions by finding a point on the line?
• The terminal side of #theta# lies on the line #2x-y=0# in quadrant III, how do you find the values of the six trigonometric functions by finding a point on the line?
• The terminal side of #theta# lies on the line #4x+3y=0# in quadrant IV, how do you find the values of the six trigonometric functions by finding a point on the line?
• How do you find the value of #costheta# given #sintheta=-3/5# and in quadrant IV?
• How do you find the value of #sin theta# given #cos theta=-3# and in quadrant II?
• How do you find the value of #sec theta# given #tan theta=3/2# and in quadrant III?
• How do you find the value of #cot theta# given #csc theta=-2# and in quadrant IV?
• How do you find the value of #sec theta# given #cos theta=5/8# and in quadrant I?
• How do you find the value of #tan theta# given #sec theta=-9/4# and in quadrant III?
• How do you find the point (x,y) on the unit circle that corresponds to the real number #t=pi/4#?
• How do you find the point (x,y) on the unit circle that corresponds to the real number #t=pi/3#?
• How do you find the point (x,y) on the unit circle that corresponds to the real number #t=(5pi)/6#?
• How do you find the point (x,y) on the unit circle that corresponds to the real number #t=(5pi)/4#?
• How do you find the point (x,y) on the unit circle that corresponds to the real number #t=(4pi)/3#?
• How do you find the point (x,y) on the unit circle that corresponds to the real number #t=(11pi)/6#?
• How do you find the point (x,y) on the unit circle that corresponds to the real number #t=(3pi)/2#?
• How do you find the point (x,y) on the unit circle that corresponds to the real number #t=pi#?
• Question #15e37
• If #u=sec2theta+tan2theta#, find #(u-1)/(u+1)#?
• Question #f8895
• Question #93d99
• Question #33ab5
• Question #0912d
• Given #{(sinx+siny=a),(cosx+cosy=b):}# calculate #sin((x-y)/2)=# ?
• If #xcostheta=ycos(theta+(2pi)/3)=zcos(theta+(4pi)/3)=1/k# calculate #xy+yz+zx=# ?
• Question #27fc5
• Question #34291
• Question #1560d
• Given #sinx=sqrt3/2, cosx=-1/2#, how do you find the remaining trigonometric functions?
• Given #tanx=sqrt3/3, cosx=-sqrt3/2# to find the remaining trigonometric function?
• Given #csctheta=5/3, tantheta=3/4# to find the remaining trigonometric function?
• Given #tanx=5/12, secx=13/12# to find the remaining trigonometric function?
• Given #cotphi=-3, sinphi=sqrt10/10# to find the remaining trigonometric function?
• Given #secphi=3/2, cscphi=-(3sqrt5)/5# to find the remaining trigonometric function?
• Given #cos(pi/2-x)=3/5, cosx=4/5# to find the remaining trigonometric function?
• Given #sin(-x)=-1/3, tanx=-sqrt2/4# to find the remaining trigonometric function?
• Given #tantheta=2, sintheta<0# to find the remaining trigonometric function?
• Given #csctheta=-5, costheta<0# to find the remaining trigonometric function?
• Given #sintheta=-1, cottheta=0# to find the remaining trigonometric function?
• Given #tantheta# is undefined, #sintheta>0# to find the remaining trigonometric function?
• How do you use trigonometric substitution to write the algebraic expression #sqrt(64-16x^2)# as a trigonometric function of #theta# where #0<theta<pi/2# and #x=2costheta#?
• How do you use trigonometric substitution to write the algebraic expression #sqrt(x^2-9)# as a trigonometric function of #theta# where #0<theta<pi/2# and #x=3sectheta#?
• How do you use trigonometric substitution to write the algebraic expression #sqrt(x^2-4)# as a trigonometric function of #theta# where #0<theta<pi/2# and #x=2sectheta#?
• How do you use trigonometric substitution to write the algebraic expression #sqrt(x^2+25)# as a trigonometric function of #theta# where #0<theta<pi/2# and #x=5tantheta#?
• How do you use trigonometric substitution to write the algebraic expression #sqrt(x^2+100)# as a trigonometric function of #theta# where #0<theta<pi/2# and #x=10tantheta#?
• How do you rewrite the expression as a single logarithm and simplify #lnabs(cosx)-lnabssinx#?
• How do you rewrite the expression as a single logarithm and simplify #lnabs(secx)+lnabssinx#?
• How do you rewrite the expression as a single logarithm and simplify #lnabscott+ln(1+tan^2t)#?
• How do you rewrite the expression as a single logarithm and simplify #ln(cos^2t)+ln(1+tan^2t)#?
• If #theta# is an acute angle and #sintheta=1/2#, then what is #costheta#?
• Given #tanA=-3/4, 0<A<pi#, what is #sin(2A)#?
• How do you find the #tantheta# for an angle in standard position if the terminal side passes through the point (-2, -5)?
• How do you find the other trigonometric functions given #sinx=3/5, cosx=4/5#?
• How do you find the other trigonometric functions given #tantheta=2/3, sectheta=sqrt13/3#?
• How do you find the other trigonometric functions given #sin(pi/2-x)=sqrt2/2, sinx=-sqrt2/2#?
• How do you find the other trigonometric functions given #csc(pi/2-theta)=9, #?
• Question #fe6e2
• Let #sinx=2/3#, how do you show that #f(2x)=-(4sqrt5)/9#?
• Given #sintheta=6/11# and #sectheta>0#, how do you find #costheta, tantheta#?
• Question #18797
• If #sin theta + cos theta =p#, what is #sin^2 theta + cos^4theta# in terms of #p# ?
• Question #6df80
• Question #47acb
• Question #fcccb
• Question #efdd1
• Question #6f9af
• Question #e55db
• Question #098a6
• Question #f4fb1
• Question #c6847
• Question #18917
• Question #f37c0
• Question #59b54
• If #tantheta = a/b#, then how do you show that #(asintheta - bcostheta)/(asintheta + bcostheta) = (a^2 - b^2)/(a^2 + b^2)#?
• Question #2fa3d
• Question #835cb
• Question #4aae2
• Question #8b831
• If cot x =3 then what is the answer of this?
• How do you find all six trigonometric function of #theta# if the point (3,4) is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point (-3,-4) is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point (-5,12) is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point (12, -5) is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point (-1, -2) is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point #(sqrt2,sqrt2)# is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point #(sqrt3,-1)# is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point #(-3,sqrt7)# is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point #(0,-5)# is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point #(-3,0)# is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point #(-9a, -12a)# is on the terminal side of #theta#?
• How do you find all six trigonometric function of #theta# if the point #(m, n)# is on the terminal side of #theta#?
• How do you determine if #cos35^circ<cos45^circ# is true or false?
• How do you determine if #sin35^circ<sin45^circ# is true or false?
• How do you determine if #sec60^circ<sec75^circ# is true or false?
• How do you determine if #cot60^circ<cot75^circ# is true or false?
• How do you find the two quadrants that #theta# could terminate given #sintheta=3/5#?
• How do you find the two quadrants that #theta# could terminate given #costheta=1/2#?
• How do you find the two quadrants that #theta# could terminate given #costheta=-0.45#?
• How do you find the two quadrants that #theta# could terminate given #sintheta=-3/sqrt10#?
• How do you find the two quadrants that #theta# could terminate given #tantheta=7/24#?
• How do you find the two quadrants that #theta# could terminate given #cottheta=-21/20#?
• How do you find the two quadrants that #theta# could terminate given #csctheta=-2.45#?
• How do you find the two quadrants that #theta# could terminate given #sectheta=2#?
• How do you find the quadrants in which the terminal side of #theta# must lie given #sintheta# is negative and #tan theta# is positive?
• How do you find the quadrants in which the terminal side of #theta# must lie given #sintheta# is positive and #cos theta# is negative?
• How do you find the quadrants in which the terminal side of #theta# must lie given #costheta# and #cottheta# have the same sign?
• How do you find the remaining trigonometric functions of #theta# given #sin theta=12/13# and #theta# terminates in QI?
• How do you find the remaining trigonometric functions of #theta# given #costheta=24/25# and #theta# terminates in QIV?
• How do you find the remaining trigonometric functions of #theta# given #costheta=-20/29# and #theta# terminates in QII?
• How do you find the remaining trigonometric functions of #theta# given #sintheta=-20/29# and #theta# terminates in QIII?
• How do you find the remaining trigonometric functions of #theta# given #costheta=sqrt3/2# and #theta# terminates in QIV?
• How do you find the remaining trigonometric functions of #theta# given #costheta=sqrt2/2# and #theta# terminates in QI?
• How do you find the remaining trigonometric functions of #theta# given #tantheta=3/4# and #theta# terminates in QIII?
• How do you find the remaining trigonometric functions of #theta# given #costheta=-2# and #theta# terminates in QII?
• How do you find the remaining trigonometric functions of #theta# given #csctheta=13/5# and #costheta<0#?
• How do you find the remaining trigonometric functions of #theta# given #sectheta-=13/5# and #sintheta<0#?
• How do you find the remaining trigonometric functions of #theta# given #cottheta-=1/2# and #costheta>0#?
• How do you find the remaining trigonometric functions of #theta# given #tantheta=-1/2# and #sintheta>0#?
• How do you find the remaining trigonometric functions of #theta# given #tantheta=a/b# where a and b are both positive?
• How do you find the remaining trigonometric functions of #theta# given #cottheta=m/n# where m and n are both positive?
• How do you find #sintheta# and #costheta# if the terminal side of #theta# lies along the line #y=2x# in QI?
• How do you find #sintheta# and #tantheta# if the terminal side of #theta# lies along the line #y=-3x# in QIV?
• How do you draw #45^circ# and #-45^circ# in standard position and then show that #cos(-45^circ)=cos45^circ#?
• How do you draw #45^circ# and #-45^circ# in standard position and then show that #sin(-45^circ)=-sin45^circ#?
• How do you find y if the point (5,y) is on the terminal side of theta and #costheta=5/13#?
• How do you find x if the point (x,-3) is on the terminal side of theta and #sintheta=-3/5#?
• What is 3 sin^2 x / sin x? thanks
• Simplify #cos x - cos 2x + sin 2x - sin 3x = #?
• Question #b6b30
• Question #56c6f
• Question #950a6
• Question #c084f
• Question #24816
• Question #45574
• Question #5e4dc
• Question #ebf14
• If sec a + cos a = 5/2, then find sec a - cos a ?
• Question #da001
• Question #b9d80
• Question #7c973
• If #sinx=1/4# and #tanx# is positive, find #cosx#?
• Question #74e29
• Question #988f9
• Question #b9406
• Question #18d08
• How do we simplify #sintheta/sin(theta + pi/2)#?
• Write #sin(x-(3pi)/4)# in terms of #sinx#?
• Express #sin(x-(3pi)/4)# as a function of #sinx#?
• Question #8ab7c
• Question #142e0
• Question #46362
• How do you simplify #cot^2x(tan^2x+ 1)#?
• Question #45f6e
• Question #2259b
• Question #8d2df
• Does tan 75 = cot 75? if so why?
• Question #efb55
• Question #e6ede
• Question #d0dcc
• If #sinalpha=3/5# and #alpha# lies in Q2 and #sinbeta=5/13# and #beta# lies in Q1, find #cos(alpha+beta)#, #cosbeta# and #tanalpha#?
• Question #7af81
• How do you simplify #\sqrt { ( 1- \cos \theta ) ( 1+ \cos \theta ) }#?
• Question #58265
• Question #49b70
• Question #3f255
• Prove that #(sin2x-cos2x)/(sinxcosx)=-cot2x#?
• Question #85c83
• Question #67a2f
• Question #08381
• Question #aafd9
• Question #8826d
• Question #55104
• Question #b2d25
• How do you evaluate this #cos((2pi)/7)*cos((3pi)/7)*cos((6pi)/7)# ?
• If #cos x=11/12# then find the value of #tan2x#?
• Question #f68d0
• Question #71f53
• Question #76773
• Question #4352a
• Given that #cotx = 2/5#, then what is the value of #tan(2x)#, #cos(2x)# and #sin(2x)#?
• Question #f1a06
• Question #6a1a5
• Question #b314f
• Question #990d6
• #a in(pi,(3pi)/2);sina=-4/5;#How to calculate #tga/2#?
• Question #4cc50
• Question #3157d
• Question #d5791
• Question #b8ee8
• Question #cf2a3
• Question #dc78e
• Write tan(cos^-1(- x/5)) as an algebraic Expression in terms of X. ?
• Question #f6d94
• Find an expression for #cos 3x# in terms of #cosx #?
• Question #873d9
• Question #3add7
• Question #fd248
• Simplify the expression:? #(sin^2(pi/2+alpha)-cos^2(alpha-pi/2))/(tg^2(pi/2+alpha)-ctg^2(alpha-pi/2))#
• Question #110e4
• If #tg^2alpha=3# then #sin^2(2alpha)# equal ...?
• Question #0cc73
• Question #8dcc0
• Express # 2sin^2 200^o# in term of #20^o#?
• Expressing in different form and finding a maximum? See picture below (7 marks)
• Question #7eb4e
• Question #3a14d
• Question #db20d
• Question #7e3cb
• For what values of #x# does #sqrt((1-sinx)/(1+sinx))=secx-tanx# hold?
• Question #16d46
• If #8sinx+3cosx=5# then what is #cot x# ?
• Simplify #sin^4x-cos^4x+cos^2x#?
• Question #758df
• How do we find the value of #sin^2theta# if #1-cos^2theta = t#?
• Simplify #cos(4theta)-4cos(2theta)+3#?
• Question #18682
• Given cos 40=m and sin 10=n,can u please express sin 50 in terms of m and n?
• Question #b3d2c
• Question #d76e9
• Question #356fc
• Question #ed0a0
• Question #872b5
• Question #1fa9c
• How do we solve the equation #asinx+bcosx=c#?
• Find the value of #tan(cos^(-1)(3/x))#?
• How do you express #sin(2x)+sin(4x)# in terms of #sin(x)# and #cos(x)# ?
• Question #55edb
• Question #0eae5
• Question #0c317
• Question #2ee5b
• How do you simplify #(cos(-x))/(tan(-x))-sin(x)#?
• Simplify #("csc"^2x)/(1 + tan^2x)# ?
• How do I simplify (sin^4x-2sin^2x+1)cosx?
• How do I determine the exact trigonometric value given CSC θ = √11/3, π/2 < θ < π; COT θ?
• How do I determine the exact trigonometric value given SIN θ = -1/3, 180 < θ < 270; TAN θ?
• How do you simplify cot θ/cos θ ?
• How do I simplify sec x/tan x ?
• Cot2A+tanA=?
• How do you find the numerical value of one trigonometric function of x if tan x/cot x - sec x/cos x = 2/csc x ???
• Does this identity exist? If so, what is it equivalent to? -sin^(2)x+cos^(2)x = ?
• How do you rewrite (sin x - cos x)(sin x + cos x)? Thank you.
• If sinθ =4/7, what is cosθ?