Suppose x=4tan(theta) and the angle theta is in the first quadrant. Write algebraic expressions for cos(theta) and sin(theta)  in terms of x.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in

Trigonometric Ratios

Related Trigonometry Q&A

Find answers to questions asked by students like you.

Q: see attached

A: Add 1 to both sides to the given equation.

Q: Photo is attached

A: The given identity is,

Q: Triangle ABC has side a, b, c, opposite angles A, B, C, respectively. Find the request parts of the ...

A: Given figure is

Q: Find the exact values of x and y of the following:  -400 degrees  -150 degrees  250 degrees   do not...

A: The period of a function is defined as the interval where the function repeats itself.

Q: A thread is being pulled off a spool at the rate of 71.5 cm per sec. Find the radius of the spool if...

A: The number of revolution per minute is 148.

Q: 0<x<2pi F(x)=-4cosx G(x)=2cosx+3 graph f(x) and g(x) on the same coordinate system for 0<x&...

A: Given,

Q: Use an Addition or Subtraction Formula to simplify the equation. cos θ cos 2θ + sin θ sin 2θ = squa...

A: Given,

Q: Prove the following identity. (sin x - cos x) = 1 - sin 2x We begin by expanding the left side of th...

A: Use (a-b)^2= a^2 -2ab+ b^2 formula to expand it. With a=sin x and b=cos x

Q: 3.4.9 Question Help Suppose that point P is on a circle with radius r, and ray OP is rotating with a...

A: Given angular speed is ꞷ=  radians per minGiven time is t=12 minAngle generated by ray OP is given b...

Q: How to come to the solutions

A: The given equation is,

Q: The angle of elevation ⍬ of the sun in the sky at any latitude L is calculated with the formula sin⍬...

A: Given,           The angle of elevation ⍬ of the sun in the sky at any latitude L is calculated with...

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the for...

A: Let z = 1-iFirst write z in polar formr = sqrt((1)2 + (-1)2) = sqrt(2) = tan-1(-1/1) = tan-1(-1)=&gt...

Q: Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be an...

A: Obtain the solution of the given solutions as follows.

Q: If cosA=(sqrt5)/5 with A in Q1 and tanB=3/7 with B in Q1, find cos(A+B).

A: If cosA=(sqrt5)/5 with A  and tanB=3/7 with B , find cos(A+B)

Q: If cosx=4/5,cscx<0,then: sin 2x=_____                  cos 2x=_____            tan 2x=_________ f...

A: NOTE: As you have posted question with multiple subparts, we will answer the first three questions f...

Q: Explain to a friend how the Distributive Property is used to justify the fact that 2x+3x=5x

A: Click to see the answer

Q: How do  I find sin y =-sqrt 2/2? I know that you use the given to find the angle but a 45-45-90 has ...

A: The given trigonometric equation is

Q: Use the pythagorean theorem and a proportion for the similar angles t and S to solve for the simplif...

A: Click to see the answer

Q: Find the exact values of the six trigonometic functions for the following angle sin 30 degree?

A: It is known that, π/3=30◦Sketch the graph of the unit circle as follows.

Q: 2sinx+square root 2=0

A: Solve for sinx. Subtract sqrt(2) then divide by 2.

Q: see attachment

A: Given equation is 

Q: Solve sin2x=sinx for 0<x<2pi. Write solutins as simplified exact values.

A: We need to Solve sin 2x = sin x for 0 ≤ x < 2π.

Q: photo attached

A: The given trigonometric values are,

Q: photo attached

A: Given,

Q: Find five key points for the shifted funtion. f(x)=cos(pi/3(x-1)) Key points for cosx are: (0,1), (p...

A: The key points of the cos x are (0, 1), (π/2 ,0) , (π ,-1) , (3π/2 ,0) , (π/2 ,0) , (2π ,1)To find t...

Q: I am struggling to complete the first blank.   Thanks much.

A: Here,

Q: Find the angle labeled 0. (Round your answer to one decimal place.) = 4 75 6

A: To determine the value of the angle.

Q: 2sin2a+7sina=4

A: Click to see the answer

Q: 01 4. sin e= sin 0 - cos 0 sin

A: We will start with right side. Plug cos^2 theta= 1-sin^2 theta [ by Pythagorean identity]

Q: The following graph shows at least one complete cycle of the graph of an equation containing a trigo...

A: From the given graph, the function attains the maximum at x = 6 and minimum at x = –6, and the x int...

Q: Solve the equation for x if 0 s x < 2. Give your answer in radians using exact values only. (Enter y...

A: The given trigonometric equation is shown below.

Q: see attachment

A: To prove that

Q: Find the coordinates of the point P at an angle of 225 degrees on a circle of radius 2.7. Round your...

A: Given,          The point P at an angle of 225 degrees on a circle of radius 2.7

Q: Solving for integer N hw 13

A: Given,

Q: Express in simplified form. Assume all variables represent positive real numbers.     ​(Simpli...

A: Given,

Q: Find the exact value of the expression using the provided information.Find tan(s - t) given that sin...

A: Given:

Q: Find a value of o in [0°, 90°] that satisfies the given statement. Ot (Simplify your answer. Type an...

A: Click to see the answer

Q: See attached

A: Calculate the value for sinx and tanx where Cosx=adjacent/hypotenuse.

Q: photo attached

A: The given identity is

Q: see attachment

A: Given,

Q: In a right triangle ABC, find the value of angle A if the opposite side is 18 and the hypotenuseif 4...

A: According to the given information, the figure that can be drawn is: