Double Angle Identities
Topic Page
Double Angle Identities
Questions
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What are Double Angle Identities?
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How do you use a double angle identity to find the exact value of each expression?
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How do you use a double-angle identity to find the exact value of sin 120°?
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How do you use double angle identities to solve equations?
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How do you find all solutions for #sin 2x = cos x# for the interval #[0,2pi]#?
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How do you find all solutions for #4sinthetacostheta=sqrt(3)# for the interval #[0,2pi]#?
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How do you simplify #cosx(2sinx + cosx)-sin^2x#?
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If #tan x = 0.3#, then how do you find tan 2x?
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If #sin x= 5/3#, what is the sin 2x equal to?
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How do you prove #cos2A = 2cos^2 A - 1#?
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How can tan 4x be simplified or sec 2x?
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How do you find the exact value of cos2x, given that #cotx = -5/3# with pi/2<x<pi?
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How do you find the values of #sin 2theta# and #cos 2theta# when #cos theta = 12/13#?
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How do you prove #cos 2theta = cos^(4)theta - sin^(4)theta#?
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How do you find the exact value of cos2x given #cosx=-2/13#, #pi/2<x<pi#?
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Use the Double-Angle Identity to find the exact value for cos 2x , given #sin x= sqrt2/ 4#?
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How to solve for tan(x/2) if #tanx = (-5/12)#?
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How do you simplify #sin(pi/8)cos(pi/8)# using double-angle identities?
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How do you use a double-angle formula to rewrite the expression #3 − 6 sin2 x#?
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How do you find sin 2x, cos 2x, and tan 2x from the given information: #tan x=-6/5# and x is in the second quadrant?
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How do you use double angle formulas to calculate cos 2x and sin 2x without finding x if #cos x = 3/5# and x is in the first quadrant?
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How do you verify #sin 4x = 4 sin x cos x cos 2x#?
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How do you determine an exact value for cos(2x) when angle x lies in 3rd quadrant and #tanx=7/24#?
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If A is a positive acute angle and #sin A = sqrt5/3#, what is cos 2A?
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How do you find the exact values of sin 2u, cos 2u, and tan 2u using the double-angle formulas given #tan u = 3/4#, #0 < u < pi/2#?
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How do you use the formulas for sin (A +- B) and cos (A +-B) to prove the double angle formulas for sin 2A and cos 2A?
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How do you use a double-angle formula to rewrite the expression #6 cos^2x-3#?
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How do you find the exact value of tan2x using the double angle formula?
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How do you find the exact value of sin2x using the double angle formula?
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How do you find the exact value of cos2x using the double angle formula?
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How do you use the double angle formula to determine tan 300?
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How do you use double angle formula to determine cos 120?
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How do you use the double angle formula to rewrite the expression #4-8sin^2x#?
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How do you apply the double angle formula for #sin 8x cos 8x#?
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How do you apply the double angle formula for #cos^2 4x - sin^2 4x#?
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How do you express #cos(4theta)# in terms of #cos(2theta)#?
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How do you verify #cos(4θ) = (2cos^4θ) − (4cos^2θ) (sin^2θ) + 2sin^4θ − 1#?
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How do you use the double angle formula to rewrite #5-10sin^2x#?
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How do you use the double angle formula to rewrite #6sin x cos x #?
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How do you simplify the expression by using a double-angle formula #2(cos^2) 5 theta - 1#?
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What are the three double angle formula for cos2x?
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How do you use a double angle formula to rewrite the expression : #6sinxcosx#?
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How do you find a double angle formula for sec(2x) in terms of only csc(x) and sec(x)?
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How do you prove #cos(2x + pi) = cos^2 (x - pi/2) + cos(x + pi) sin(x + pi/2)#?
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How do you use a double-angle formula to rewrite the expression #7 sin x cos x#?
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How do you simplify the expression by using a double-angle formula or a half-angle formula for #cos^2(theta/4)-sin^2(theta/4)#?
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How do you simplify the expression by using a double-angle formula or a half-angle formula for #4 sin(theta/8)cos(theta/8)#?
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How do you simplify the expression using a double angle formula #1-2sin^2(2x)#?
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How do you find the values of cos x and sin x when cox 2x is 1/8?
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How to use double angle formula to write #8cos^2x-4#?
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How do you use the double-angle formula to rewrite the expression: #(1/3)cos^2x-(1/6)#?
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Using the double angle formula, how do you find the function values for #cos^2(pi/12) and sin^2(pi/8)#?
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How do you find the exact value of the expression sin 2x, cos 2x, and tan 2x given #Sin x = 12/13# where x lies on Quadrant I?
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How do you simplify #2 sin 35 cos 35#?
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How do you simplify #cos^2 (theta/2) − sin^2 (theta/2)#?
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How do you find the exact value of cos2x using the double angle formula given #cosx=-2/13#, #pi/2<x<pi#?
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How do you simplify the expression #1-2sin^2 ( theta / 3 )# by using a double-angle formula?
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How do you simplify tan2x to sec2x?
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How do you prove #cos 2x = (1-tan^2x)/(1+tan^2x)#?
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How do you prove #cos2x = 2cos^2x -1#?
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How do you prove #1-[2sin^2 (4x)]#?
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How do you simplify #4[sin^2 (2x)][cos^2 (2x)]#?
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How do you simplify # [1-cos(80°)] / [1+cos(80)]#?
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How do you verify #cos^4(x)-sin^4(x)=cos2x# using the double angle identity?
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How do you solve #sin 2x = 2 sin x cos x# using the double angle identity?
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How do you find the value of #sin 20(theta)# using the double angle identity?
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How do you find the value of #cos 2*(theta)# using the double angle identity?
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How do you find the value of #tan 20(theta)# using the double angle identity?
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How do you prove #cos(3x)= 4cos^3(x)-3cos(x)# using the double angle identity?
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How do you solve #cos2x-cosx=0# using the double angle identity?
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How do you simplify #7 sin x cos x# using the double angle identity?
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How do you simplify #6sinxcosx# using the double angle identity?
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How do you prove #cos(2x + π) = cos^2 (x - π/2) + cos(x + π) sin(x + π/2)# using the double angle identity?
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How do you use the double-angle identities to find tan(2x) if cos x=8/17 and sin x is less than 0?
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How do you use the double-angle identities to find tan(2x) if sec x=root65 and sin x is less than 0?
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How do you use the double-angle identities to find sin(2x) if csc x= -root21 and cos x is less than 0?
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How do you use the double-angle identities to find cot(2x) if cos x= -15/17 and csc x is less than 0?
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If csc x=-2 and cos x is greater than 0, find cos x/2?
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How do you prove #(sin2x)/(2sin^2x)=cotx# using the double angle identity?
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How do you prove #1+cos2x=2/(1+tan^2x)# using the double angle identity?
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How do you solve #cos2x+2sinx=0# using the double angle identity?
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How do you simplify #sin2x + cosx = 0# using the double angle identity?
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How do you write as a single expression #cos(2a) cos(a) - sin(2a) sin(a)# using the double angle identity?
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How do you express sin x/2 in terms of cos x using the double angle identity?
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How do you express cos(4θ) in terms of cos(2θ) using the double angle identity?
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If Cosx = 5/13 and x is reflex, how do you find the exact value of cos2x?
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How do you find the exact value of cos2x, given that cotx = -5/3 with pi/2<x<pi?
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How do you find sin2x if sinx = -3/5 and x is in quadrant 3?
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How do you solve #cos 2x = - sqrt3 / 2# using the double angle identity?
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How do you use the double angle or half angle formulas to simplify #(sinx-cosx)^2#?
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How do you use the double angle or half angle formulas to solve #2 sinx cosx=cos 2x#?
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How do you use the double angle or half angle formulas to find the exact value of #tan2x# given tanx = 7/13, 0 < x < pi/2??
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How do you use the double angle or half angle formulas to prove #cos(2x) = [cos(x)]^2 - [sin(x)]^2#?
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How do you use the double angle or half angle formulas to derive cos(4x) in terms of cos x?
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How do you use the double angle or half angle formulas to simplify cos22.5?
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How do you use the double angle or half angle formulas to solve #tan2x-cotx=0#?
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How do you use the double angle or half angle formulas to solve #2 + 3cos2x = cosx#?
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How do you use the double angle or half angle formulas to simplify #1-2sin^2(2x)#?
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How do you use the double angle or half angle formulas to simplify #f(θ) = (cos θ − 3 sin θ)^2#?
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How do you use the double angle or half angle formulas to simplify #cos^2 (5B) - sin^2 (5B)#?
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How do you use the double angle or half angle formulas to solve #cos2x-cosx=0#?
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How do you use the double angle or half angle formulas to find the exact value of cos2x, when #sinx=(sqrt 5)/3# and #pi/2 <= x <= pi#?
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How do you use the double angle or half angle formulas to simplify #cos(2a) cos(a) - sin(2a) sin(a)#?
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How do you use the double angle or half angle formulas to prove #sin(pi+x) = - sinx#?
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How do you use the double angle or half angle formulas to express sin x/2 in terms of cos x?
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How do you use the double angle or half angle formulas to simplify #sin 8x cos 8x#?
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How do you use the double angle or half angle formulas to simplify #cos^2 4x - sin^2 4x#?
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How do you use the double angle or half angle formulas to simplify #5-10sin^2x#?
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How do you use the double angle or half angle formulas to simplify #6sin x cos x #?
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How do you use the double angle or half angle formulas to simplify #6cos^2 x - 3#?
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How do you use the double angle or half angle formulas to rewrite the expression sin2x + cosx as one involving only sinx and cosx?
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How do you use the double angle or half angle formulas to prove #cos(3x)= 4cos^3(x)-3cos(x)#?
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How do you use the double angle or half angle formulas to simplify 2sin35cos35?
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How do you use the double angle or half angle formulas to simplify tan 300?
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How do you prove #cos36*cos72=1/4#?
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How do you simplify #1-2sin^2 ( theta / 3 )# using the double angle identities?
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How do you simplify #cos(2theta)-2sin (2theta )# using the double angle identities?
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How do you simplify #cos^2theta-2sin (2theta )# using the double angle identities?
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How do you simplify #sin^2theta-2cos(2theta )# using the double angle identities?
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How do you simplify #-1/(cos2theta)+tan2theta# using the double angle identities?
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How do you simplify #sin2theta -tan2theta# using the double angle identities?
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How do you simplify #cos2theta -tan2theta# using the double angle identities?
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How do you simplity #6cot4theta-tan3theta# to trigonometric functions of #theta#?
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How do you simplity #6cot2theta-costheta# to trigonometric functions of #theta#?
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How do you simplify #5sin2theta-costheta+sin^2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #-sin4theta-cos2theta+sin^2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #5sec2theta-csc2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #sin4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cos4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #tan4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cot4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cot4theta-cos2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #sin4theta-cot2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cos4theta-cot2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cos4theta-sin2theta+tan2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #3cos8theta-6sin4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #5sin2theta-cot2theta+cos2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cot8theta# to trigonometric functions of a unit #theta#?
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How do you simplify #sin8theta-tan2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cos8theta-5tan2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cos8theta-5tan2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cos4theta-3tan2theta+sin2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #cos4theta-6sin2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=sin4theta-cos2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=sin4theta-cos6theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=sin3theta-cos3theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=sec4theta-tan4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=sin4theta-2tan2theta+5csc2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=sin4theta-2cot2theta+5csc2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=csc4theta-2cot2theta+5sec2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=csc2theta-sec2theta-3tan2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=csc2theta-sec2theta-3cot2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=csc2theta-sin2theta-3cot2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=csc2theta-cos4theta-3cot2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=2csc2theta-cos2theta+sec2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=2tan2theta-cos2theta+sec2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=2tan2theta-3sin2theta+sec2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=2tan2theta-3sin2theta+csc2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=tan2theta-2cot2theta-csc2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=tan2theta-2cot2theta-3sec2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=cot2theta-2cos2theta+sec2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=cot2theta-sin2theta+3tan2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=cot4theta-sin8theta-2tan2theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=cot4theta-sin2theta-2cos8theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=tan4theta+sin2theta+3cos8theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=-tan4theta+sin2theta+cos4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=csc2theta+sin4theta+cos4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=csc2theta-sin2theta+cos4theta# to trigonometric functions of a unit #theta#?
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How do you simplify #f(theta)=csc2theta-sin2theta-5sec2theta# to trigonometric functions of a unit #theta#?
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If #sinx=(4/5)#, how do you find #sin2x#?
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How do you use double angle identity for sin 2x given that cos x= 4/5 where x is an angle in quadrant 1?
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How do you prove cos (90 deg + A) = -sin A?
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How do you prove #1 + sin 2x = (sin x + cos x)^2#?
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How do you use double-angle identities to find the exact value of sin 2x & cos 2x when csc(x) = -25/7 and cos x>0?
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How do you use half-angle identities to find the exact values of sin (u/2) & cos (u/2) when sin(u)= - 4/5 and 3pi/2 <u<2pi?
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How do you prove #(sin 2x) / (1 + cos2x) = tan x#?
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How do you prove #sin8x = 8sinx cosx cos2x cos4x#?
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How do you prove #9sin(3x)cos(3x)#?
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How do you prove #cos 2x = (1-tan^2x)/(1+tan^2x)#?
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How do you prove #tan(2x) = (2tan(x))/(1-tan^2 x)#?
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How do you prove #sin( (3π/2) + x ) + sin ( (3π/2) - x ) = - 2 cos x#?
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How do you prove #(1 + tanx) / (1 - tanx) = (1 + sin2x) / (cos2x)#?
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How do you prove #(1+tanx) tan2x = (2tanx)/(1-tanx)#?
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How do you prove #tanx tan(1/2)x = sec x- 1#?
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How do you prove #2 cos^2 A - 1 = cos(2A)#?
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How do you prove #tan p + cot p = 2 csc 2 p#?
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How do you prove #cos^4 p - sin^4 p = cos 2 p#?
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Question #b3353
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Question #a9735
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Question #e6719
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How do you prove that #(cos^2x)/(1 + sin2x) = (1 - tanx)/(1+ tanx)#?
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Prove that #cos(y-pi)+sin(y+pi/3)=0#?
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Question #0ff6c
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How do you rewrite #cos 3theta# in terms of only #costheta# and #sintheta#?
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How do you verify #cos 2x = (1-tan^2x)/(1+tan^2x)# using the double angle identity?
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How do you use find the exact value of cos2x, given that cotx = -5/3 with pi/2<x<pi?
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How do you use a double-angle formula to find the exact value of cos2u when sin u = 7/25, where pi/2 <u < pi?
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How do you prove #sin 3 theta = 3 sin theta - 4 sin^3 theta#?
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How do you prove #cos 3 theta = 4 cos^3 theta - 3 cos theta#?
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How do you simplify #2(cos^2) 5 theta - 1#?
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Given cos2x=(-5/12) and pi/2 < x < pi, how do you find the values of the six trig functions?
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How do you find the value of #sin120# using the double angle identity?
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How do you find the value of #tan60# using the double angle identity?
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How do you find the value of #cos(4pi/3)# using the double angle identity?
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How do you find the value of #sin((5pi)/3)# using the double angle identity?
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How do you find the value of #sin2theta# given #costheta=4/5# and #270<theta<360#?
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How do you find the value of #sin(theta/2)# given #costheta=-4/5# and #90<theta<180#?
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How do you find the value of #cot2theta# given #cottheta=4/3# and #pi<theta<(3pi)/2#?
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How do you find the value of #tan(theta/2)# given #sintheta=(-3/5)# and #(3pi)/2<theta<2pi#?
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How do you find the value of #sin2theta# given #costheta=1/3# and #0<theta<90#?
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How do you find the value of #sin2theta# given #cottheta=4/3# and #pi<theta<(3pi)/2#?
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How do you write #2sin0.6cos0.6# as a single trigonometric function?
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How do you write #2sin3cos3# as a single trigonometric function?
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How do you write #2sin2cos2# as a single trigonometric function?
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Given #sin theta =-3/5# and #pi<theta<(3pi)/2#, how do you find #sin 2theta#?
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Given #sin theta =8/17# and #pi/2<theta<pi#, how do you find #sin (theta/2)#?
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How do you find the value of #sin ((2pi)/3)#?
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How do you find the value of #sin ((11pi)/12)#?
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How do you find the value of #cos 120#?
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How do you find the value of #cos 300#?
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Given #costheta=-15/17# and #180<theta<270#, how do you find #cos2theta#?
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If #cosx=1/2#, how do you find #sin2x#?
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If #sinx=2/4#, how do you find #cos2x#?
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If #sinx=1/3#, how do you find #cos2x#?
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If #cosx=2/5#, how do you find #sin2x#?
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If #costheta=-24/25# and #pi/2<theta<pi#, how do you find #sin2theta#?
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If #sintheta=sqrt403/22# and #pi/2<theta<pi#, how do you find #tan2theta#?
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If #costheta=-15/17# and #pi/2<theta<pi#, how do you find #cos2theta#?
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If #costheta=-4/5# and #pi/2<theta<pi#, how do you find #sin2theta#?
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Given #sintheta=-7/25# and #((3pi)/2<theta<2pi#, how do you find #sin2theta#?
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Given #sintheta=-9/22# and #270<theta<360#, how do you find #sin2theta#?
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Given #tantheta=3/4# and #pi<theta<(3pi)/2#, how do you find #tan2theta#?
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Given #tantheta=5/12# and #pi<theta<(3pi)/2#, how do you find #cos2theta#?
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Given #sintheta=(2sqrt2)/3# and #pi/2<theta<pi#, how do you find #tan2theta#?
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Given #costheta=-(2sqrt10)/11# and #pi<theta<(3pi)/2#, how do you find #tan2theta#?
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How do you simplify using the double angle formula #cos^2(-105)-sin^2(-105)#?
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How do you simplify using the double angle formula #1-2sin^2(-75)#?
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How do you find the value for #sin2theta#, #cos2theta#, and #tan2theta# and the quadrant in which #2theta# lies given #sintheta=4/5# and #theta# is in quadrant I?
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How do you find the value for #sin2theta#, #cos2theta#, and #tan2theta# and the quadrant in which #2theta# lies given #costheta=5/13# and #theta# is in quadrant I?
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How do you find the value for #sin2theta#, #cos2theta#, and #tan2theta# and the quadrant in which #2theta# lies given #costheta=-3/5# and #theta# is in quadrant III?
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How do you find the value for #sin2theta#, #cos2theta#, and #tan2theta# and the quadrant in which #2theta# lies given #tantheta=-15/8# and #theta# is in quadrant II?
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How do you find the value for #sin2theta#, #cos2theta#, and #tan2theta# and the quadrant in which #2theta# lies given #tantheta=-5/12# and #theta# is in quadrant II?
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How do you find the value for #sin2theta#, #cos2theta#, and #tan2theta# and the quadrant in which #2theta# lies given #sintheta=-sqrt10/10# and #theta# is in quadrant IV?
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How do you simplify #(-4cosxsinx+2cos2x)^2+(2cos2x+4sinxcosx)^2#?
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How do you simplify #(2sinxcos^3x-2sin^3xcosx)#?
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Question #b1a65
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Question #f51a4
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Find the exact value of #sin(pi/12)# and #cos(pi/12)#?
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Question #f14bb
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Question #de5ff
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How do you prove that #tan^2x = csc^2x * tan^2x - 1#?
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If #sinu=-4/5# and #pi < u < (3pi)/2#, find #sin2u,cos2u# and #tan2u#?
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If #sum_(i=1)^n theta_i= pi# with #theta_i ge 0# what is the maximum value for #sum_(i=1)^n sin^2theta_i#?
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Question #02bba
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Question #7b448
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How do we find #tan120^@# using double angle identity?
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Question #495a3
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Question #42bd5
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Question #c2854
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Question #acbec
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Simplify this function of Double Angles?
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How do you find the exact solutions of the equation #sin2x-sinx=0# in the interval #[0,2pi)#?
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How do you find the exact solutions of the equation #sin2x+cosx=0# in the interval #[0,2pi)#?
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How do you find the exact solutions of the equation #4sinxcosx=1# in the interval #[0,2pi)#?
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How do you find the exact solutions of the equation #tan2x-cotx=0# in the interval #[0,2pi)#?
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How do you find the exact solutions of the equation #tan2x-2cosx=0# in the interval #[0,2pi)#?
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How do you find the exact solutions of the equation #sin4x=-2sin2x# in the interval #[0,2pi)#?
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How do you find the exact solutions of the equation #(sin2x+cos2x)^2=1# in the interval #[0,2pi)#?
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How do you use a double angle formula to rewrite the expression #(cosx+sinx)(cosx-sinx)#?
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How do you find the exact values of #sin2u, cos2u, tan2u# using the double angle values given #cosu=-2/3, pi/2<u<pi#?
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How do you find the exact values of #sin2u, cos2u, tan2u# using the double angle values given #cotu=-4, (3pi)/2<u<2pi#?
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How do you find the exact values of #sin2u, cos2u, tan2u# using the double angle values given #secu=-5/2, pi/2<u<pi#?
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How do you find the exact values of #sin2u, cos2u, tan2u# using the double angle values given #cscu=3, pi/2<u<pi#?
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How do you use the power reducing formulas to rewrite the expression #cos^4x# in terms of the first power of cosine?
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How do you use the power reducing formulas to rewrite the expression #sin^8x# in terms of the first power of cosine?
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How do you use the power reducing formulas to rewrite the expression #sin^2xcos^2x# in terms of the first power of cosine?
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How do you use the power reducing formulas to rewrite the expression #sin^4xcos^4x# in terms of the first power of cosine?
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How do you use the power reducing formulas to rewrite the expression #sin^2xcos^4x# in terms of the first power of cosine?
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How do you use the power reducing formulas to rewrite the expression #sin^4xcos^2x# in terms of the first power of cosine?
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How do you use the double angle formula to verify #sin4x=8cos^3xsinx-4cosxsinx#?
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How do you use the double angle formula to verify #tan^2x=(1-cos2x)/(1+cos2x)#?
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Can anyone demonstrate the workings to obtain the solution?
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Question #26ac4
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Answer to this double-angle formulae equation in trigonometry?
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Question #c05e6
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Question #78bc0
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Question #cc030
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Solve the equation #tan2x+1=sec2x#?
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Question #b2446
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Question #acd9c
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I am having a hard time, how do I rewrite 3 cos 4x in terms of cos x?