SOLUTION: Given that sin theta = k, and that 90 < theta < 180, find expressions for cos theta and tan theta.

Algebra ->  Trigonometry-basics -> SOLUTION: Given that sin theta = k, and that 90 < theta < 180, find expressions for cos theta and tan theta.       Log On


   

Question 1174871: Given that sin theta = k, and that 90 < theta < 180, find expressions for cos theta and tan theta.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


sin%28x%29%5E2%2Bcos%28x%29%5E2=1

Given sin(x)=k, use that to find an expression for cos(x).
cos%28x%29%5E2+=+1-sin%28x%29%5E2
cos%28x%29+=+sqrt%281-sin%28x%29%5E2%29

Plug in the given expression for sin(x).

Cosine is negative in quadrant II, so write the expression as a negative value.

Then

tan%28x%29+=+sin%28x%29%2Fcos%28x%29