SOLUTION: I have the question for my math homework right now of "use identities of sine and cosine to find the value of theta given that cosine2theta=3/4, theta therminates in quadrant III."

Algebra.Com
Question 765492: I have the question for my math homework right now of "use identities of sine and cosine to find the value of theta given that cosine2theta=3/4, theta therminates in quadrant III." I am unsure how to answer this.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
use identities of sine and cosine to find the value
of theta given that cosine(2theta) = 3/4, theta terminates in quadrant III
-----
Take the cos^-1 of each side to get:
-----
2theta = cos^-1(3/4) = 41.41 or 41.41+360 = 401.41 degrees
-----
Then theta = 200.7 degrees
===========================
Cheers,
Stan H.
================

RELATED QUESTIONS

Use identities to find values of the sine and cosine functions for each angle measure.... (answered by lwsshak3)
Use double-angle identities to find values of the sine and cosine functions for each... (answered by lwsshak3)
Given that theta is an acute angle and sin(theta) = 17/37, find the exact value of... (answered by KMST)
Hello, I am trying to find the solution to this problem If cotangent of theta equals... (answered by Alan3354)
Use the information given about angle theta to find the exact value of cosine... (answered by solver91311)
Find the exact value of sine two theta given cosine of theta = 1 over 6 and theta is... (answered by lwsshak3)
Find the exact value of cosine 2 theta given sine of theta = negative 3 over 8 and theta... (answered by lwsshak3)
Use the given information to find the exact values of sine 2 theta​, cosine 2... (answered by ikleyn)
If cosine theta equals -5/9 and sine theta > 0, find the exact value of tan... (answered by stanbon)