SOLUTION: Given sin theta=12/37 and 90 degrees < (less than or equal to)theta and theta is < (less than or equal to 180 degrees, find the exact value of cos theta/2

Algebra ->  Trigonometry-basics -> SOLUTION: Given sin theta=12/37 and 90 degrees < (less than or equal to)theta and theta is < (less than or equal to 180 degrees, find the exact value of cos theta/2       Log On


   

Question 700977: Given sin theta=12/37 and 90 degrees < (less than or equal to)theta and theta is < (less than or equal to 180 degrees, find the exact value of cos theta/2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given sin theta=12/37 and 90 degrees < (less than or equal to)theta and theta is < (less than or equal to 180 degrees, find the exact value of cos theta/2
------------
sin(t) = 12/37
90<= t <=180
----------------
cos%28t%29+=+sqrt%281+-+sin%5E2%28t%29%29
cos(t) = 35/37 --> -35/37 in Q2
---------------
cos%5E2%28t%2F2%29+=+%281+%2B+cos%28t%29%29%2F2+=+1%2F37
cos%28t%29+=+sqrt%2837%29%2F37