# Trigonometry

### Featured Answers

### Right Triangles

- The Pythagorean Theorem
- Special Right Triangles
- Basic Trigonometric Functions
- Solving Right Triangles
- Measuring Rotation
- Applying Trig Functions to Angles of Rotation
- Trigonometric Functions of Any Angle
- Relating Trigonometric Functions
- Radian Measure
- Applications of Radian Measure
- Circular Functions of Real Numbers
- Translating Sine and Cosine Functions
- Amplitude, Period and Frequency
- General Sinusoidal Graphs
- Graphing Tangent, Cotangent, Secant, and Cosecant
- Fundamental Identities
- Proving Identities
- Solving Trigonometric Equations
- Sum and Difference Identities
- Double Angle Identities
- Half-Angle Identities
- Products, Sums, Linear Combinations, and Applications
- Basic Inverse Trigonometric Functions
- Graphing Inverse Trigonometric Functions
- Inverse Trigonometric Properties
- Applications and Models
- The Law of Cosines
- Area of a Triangle
- The Law of Sines
- The Ambiguous Case
- General Solutions of Triangles
- Vectors
- Component Vectors
- Polar Coordinates
- Graphing Basic Polar Equations
- Converting Between Systems
- More with Polar Curves
- The Trigonometric Form of Complex Numbers
- The Product and Quotient Theorems
- De Moivre’s and the nth Root Theorems
- How do you identify the vertical and horizontal translations of sine and cosine from a graph and an equation?
- If you have a SSA angle case with two possible solutions, how can you check both solutions to make sure they are correct?
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- Is time real?
- Question #7ee20
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- Find the exact value of: csc^2(17pi/4) How do I do problems with the sin, cos, tan...etc raised to the power of 2?
- Find the exact value of sin^3 3645° Do I go around the circle 10 times? is there an easier way to do this?
- Is there an easy way i can find the related acute angle(reference angle) when give any degree? If not then can u tell me a method that is proper so that i can do good on reference angle
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- Determine two other angles that have the same trigonometric function value: a) sin 47 b) cos 56. For a, the value is 0.731 and for b) it's 0.559?
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- I need help how do i determine the phase shift when i am given a graph, i need it for sinusoidal function. I know how to figure everything except phase shift(d)?
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- How do you use hyperbolic trigonometric functions?
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- If #x = tan(1)#, #y = tan(2)# and #z = tan(3)#, then how do you place #x, y, z# in decreasing order?
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- How do you graph #y=-tan(x-pi/2)#?
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- What is the trig unit circle? How does the trig circle define the trig functions?
- What is the relation ship between sin x and sin (180 - x)? between sin x and sin (180 + x)?
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- How do you graph #y = cos(90-A)# as sinA?
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- In which quadrant is #(110012pi)/11# ?
- How do the double and treble angle formulas for #sin# and #cos# relate to powers of #cos theta + i sin theta# ?
- A portable conveyor user by roofers is 11.0m long. The angle between the conveyor and the ground can be adjusted from 30° to 70°. What is the range of heights that the conveyor can reach?
- Given tan x tan y = p and cos(x+y)=q .Show that sin x sin y =(pq)/(1-q) and cos(x-y)= (q(1+p))/(1-p) ?
- If x a third quadrant angle and y an acute angle such that cos x=-(3/5) and sec y= (3/2) ,find the exact value of sin(x-y) , exact value of tan(x-y) and quadrant containing (x-y)?
- Find the exact value of sin(pi/12) , cos (11pi/12) , and tan (7pi/12)?
- Find the exact value of sin(pi/12) , cos (11pi/12) , and tan (7pi/12)?
- Find the exact value of sin(pi/12) , cos (11pi/12) , and tan (7pi/12)?
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- What point is equidistant from #(0, 0)#, #(3, 0)# and #(6, 0)# ?
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- Verify the following identities (a) tan 3x =[ tan x(3-tan²x]/(1-3tan²x)?
- Write the following products as a sum or difference (a)sin 2xcos3x (b) cos 5x cos 3x (c)sin4xsin2x (d)cos3xsin6x ?
- Write the following sums or differences as a product (a)sin 2x + sin 3x (b)cos 5x- cos 3x (c)sin 4x -sin 2x (d)cos 3x + cos 6x?
- Verify the following identities: (a) #2sin^2(2x) + cos4x=1# (b) #tanx+co x =2sec2x# (c) #tan3x =[tanx(3-tan^2x)]/ (1-3tan^2x)#?
- Find all exact angles in the interval [0,2pi] that satisfy the following equations. (a)cos x +cos 2x =0 (b) cos 2x=-0.5 (c)√(12) + 2 tan (x/2)=0 (c)cos 2x=-0.5 (d)sin (2x - (pi/2))= -0.5 ?
- Find all exact angles x in the interval [0,360°] that satisfy the following equations (a)2tan²x +5tanx-3=0 (b)6cosx=secx +1 (c) 3cos x = cot x (d)csc x tan x = 5?
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- Write #sin x +sin 3x# as a product. Hence,find all angles #x# in the interval#[0,2pi]# that satisfy #sin x +sin 3x - cos x =0#?
- Find the maximum and minimum values of the following functions (a)#y= 3 sin x+ 4 cos x +2# (b) #y= 6cos x - 4 sin x -2#?
- Express sin x - 3 cos x in the form of r sin (x-y) with r>0 and 0< y < (pi/2) ?
- Find the general solutions (a)3 cos x - 4 sin x = 2 (b) 3 cos x + 4 sin x =5 (c) 5 sin x - 12 cos x =13 (d) 2 sin 2x + cos 2x = 2?
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- 4sinx cosx - 2√3 sin x + 2√3 cos x - 3=0 find all the solution?
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- We have a triangle ABC. Point D lies on BC and point E lies on the side AB. We know that, AC = BD , AD = AE , AB2 = (AC)(BC). How can you prove that angle BAD = angle CEA ?
- Find all the solutions for #sinx=a#?
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- How do I prove that #(3-6 cos^2 x)/(sin x- cos x)# = 3(sin x + cos x)?
- How do I prove that #sin^2x# + #tan^2xsin^2x# = #tan^2x# ?
- How do I solve #sec^2x# + 2 #tan^2x# =4?
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- How do I solve #4 sin x + 9 cos x = 0# for #0 < x < 360# ?
- A 40-foot television antenna stands on top of a building. From a point on the ground, the angles of elevation of the top and bottom of the antenna, respectively, have measurements of 56 degrees and 42 degrees. How tall is the building?
- Question #79d54
- How do I solve #3 sin x+2 tan x=0# for #0<=x<=360# ?
- How do I solve #3 sin x+2 tan x=0# for #0°<x<360°# ?
- How do I solve #2 csc (z+pi/4)=5# for #0<=z<=6# radians?
- In triangle ABC, how do you solve the right triangle given Side AB=17 Side BC=22?
- How do I solve #2 cos^2 x-sin x+1=0# for #0° <=x<=360°#?
- How do you solve #tan^2x-2sec x+1=0# for #0°<=x<=360°# ?
- Question #e38b9