SOLUTION: Use the given information to determine the values of sine 2 theta​, cosine 2 theta, and tangent 2 theta. cos theta=8/17; The terminal side of theta lies in quadrant IV.

Algebra ->  Conversion and Units of Measurement -> SOLUTION: Use the given information to determine the values of sine 2 theta​, cosine 2 theta, and tangent 2 theta. cos theta=8/17; The terminal side of theta lies in quadrant IV.      Log On


   

Question 1160135: Use the given information to determine the values of sine 2 theta​, cosine 2 theta, and tangent 2 theta.
cos theta=8/17; The terminal side of theta lies in quadrant IV.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Use cos%28x%29+=+8%2F17 and sin%28x%29%5E2%2Bcos%28x%29%5E2=1, and the fact that the terminal side of the angle is in quadrant IV, to find sin%28x%29+=+-15%2F17.

(2) sin%282x%29+=+2sin%28x%29cos%28x%29
(3) cos%282x%29+=+cos%28x%29%5E2-sin%28x%29%5E2
(4) tan%282x%29+=+sin%282x%29%2Fcos%282x%29