Question

If tan θ = 8/11  where 0 < θ < π, then find( without finding θ) the EXACT value (which means no decimals) of:

cos(2θ) = 

 

Show all your work.

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
Math
Trigonometry

Other

Related Trigonometry Q&A

Find answers to questions asked by students like you.

Q: If  is close to p/2, determine whether the value of each trigonometric function isclose to 0, close...

A: Known facts: Sinx is a continuous function and sinπ2=1. cosx is a continuous function and cosπ2=0.  

Q: Find all six trigonometric functions for theta if the point (-3, -1) lies on the terminalside of the...

A: R=x2+y2sinθ=yRcosθ=xRtanθ=yxcotθ=xycscθ=Rysecθ=Rx

Q: Explain how to convert an angle from radians to degrees.

A: It is known that π radian = 180°. This implies that 1 radian = 180π.

Q: 1.At what point are sine and cosine the same value? 2. sinØ is positive in? 3. A point is in quadran...

A: According to the guidelines only three questions will be answered. please upload fourth part separat...

Q: Convert the equation to polar coordinates. x2 + y2 = 7x

A: Click to see the answer

Q: Could someone help me answer this?

A: The biggest challenge in this question is to find the area of triangle PBE. P is the point of inters...

Q: If an angle θ is in standard position, and the terminal side of θ intersects the unit circle at the ...

A: Click to see the answer

Q: Distance Between Two Ships Two ships leave a harbor entrance at the same time. Thefirst ship is trav...

A: we can represent the movement of the ships along given directions using a diagram.

Q: Express x and y in terms of trigonometric ratios of 0. (Express your answer in terms of 0 only.) X =...

A: Click to see the answer

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 9 + co...

A: The given polar equation is, r=9+cosθ⋯⋯⋯1 Now, relationship between the rectangular coordinates x, y...

Q: Find A, B, and C for both scenarios  a = 44 yd, b = 77 yd, c = 66 yd a = 4.66 ft, b = 3.23 ft, c = 5...

A: Part 1,Given,          a=44 yd , b=77 yd , c=66 yd

Q: Only last part cos5theta- cos7 theta=0

A: Given: To solve cos5θ-cos7θ=0 From the given equation, a=5θb=7θ

Q: Write each expression as a single trigonometric function.   cos 5x cos x - sin 5x sin x

A: cos Acos B-sin A sin B=cos(A+B)

Q: For y=−4cos(x−π/6)its amplitude is________    ;its period is________    ;Use radians and use pi for ...

A: Click to see the answer

Q: To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B, then tu...

A: Let θ represents ∠BCA, and ϕ represents ∠BAC. Solve for ∠ABC, ∠ABC+75°=180°⇒∠ABC=180°-75°⇒∠ABC=105° ...

Q: need help

A: Given cos(x)=-0.1830

Q: What's the correct answer if the second part of the question is between 0°

A: To express the given expression cosθ-2sinθ in the form of Rcosθ+α. Multiply and divide the given exp...

Q: If cos theta = 1/4 find cos 2 theta   16

A: cosθ=14

Q: Simplify the trigonometric expression. sin x cSc x + cot x

A: Click to see the answer

Q: Please see attached and go through all steps.  I got different answer (x=1-2y^2)

A: Given : x = cos2ty = cost

Q: 18, please help me and show work

A: Laws of cosines are given as b2=a2+c2-2ac cosB..........(1) a2=b2+c2-2bc cos(A)........(2) c2=a2+b2-...

Q: -10 -9 -8 7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10

A: It is given that the graph,                   we have to find the function of given graph  

Q: If sec A = √26 with 0≤ A ≤ 90, find sinA/2

A: Click to see the answer

Q: Use a calculator to give the value to the nearest degree. e = tan-1(-0.7002) %3D O-35° O 145° -33° O...

A: Find the value in degree  Explanation of the solution is given below..

Q: Question is in the picture below: I need explainations for this question and your thought process. A...

A: 5sint+8=14cos2t On simplification, we get ⇒5sint+8=141-sin2t      ∵sin2x+cos2x=1⇒5sint+8=14-14sin2t⇒...

Q: Use your calculator to find sin theta and cos theta if the point (9.36, 7.02) is on the terminal sid...

A: Click to see the answer

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

A: Click to see the answer

Q: find tan 2 ¢.

A: Given that,sinθ = 45In a triangle having angle θ as one of its angle,sinθ = Perpendicular Hypotenuse...

Q: If theta = 40 degree is a central angle in a circle of radius 9 feet, find the arc length cut off by...

A: Click to see the answer

Q: Find all solutions to the following triangle. (Round your answers to one decimal place. If either tr...

A: Click to see the answer

Q: Solve the ea mation for solutions lin the interval Sinaxt sinx=0

A: Click to see the answer

Q: sin(0 - 9); tan 0 = 12 O in Quadrant III, sin ¤ = q in Quadrant IV 10

A: It is given that tanθ=512 (θ in 3 quadrant) , sinϕ=-31010 (φ in 4 quadrant). The triangle is given, ...

Q: Solve for 0 if 0° < 0 < 360°. (Enter your answers as a comma-separated list.) V3 sin 0 + cos 0 = V3 ...

A: Click to see the answer

Q: A 90- foot vertical tower is built on the side of a hill that's a 6 degree angle with the horizontal...

A: Given that a 90 feet vertical tower is built on a hill that makes 6 degree angle with the horizontal...

Q: Simplify 1+sin2x+cos2x/cosx

A: Click to see the answer

Q: what are the steps and answer for this type of question?

A: Click to see the answer

Q: Solve for all possible values in radians.

A: Click to see the answer

Q: 8. Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. If...

A: Click to see the answer

Q: 9 and tan0>0. 8 Let 0 be an angle such that csc0 Find the exact values of cot0 and sec0.

A: Click to see the answer

Q: How do I solve this?

A: Click to see the answer

Q: Solve the equation for solutions over the interval [0,2pi). Write solutions as exact values or to fo...

A: Click to see the answer

Q: need help

A: Click to see the answer

Q: Find the center, foci, and vertices of the ellipse. x2 + y + 4)² - 1 25 center (x, y) = focus (х, у)...

A: Given, x29 + (y+4)225 = 1 (x-0)29 + (y+4)225 = 1 It is the standard form of the equation of the elli...