SOLUTION: Given that cos&#945;=(3/4) and 0<&#945;<(&#960;/2), determine the exact value of cos(&#945;/2) cos(&#945;/2)=____

Algebra ->  Trigonometry-basics -> SOLUTION: Given that cos&#945;=(3/4) and 0<&#945;<(&#960;/2), determine the exact value of cos(&#945;/2) cos(&#945;/2)=____      Log On


   

Question 823998: Given that cosα=(3/4) and 0<α<(π/2), determine the exact value of cos(α/2)
cos(α/2)=____
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given that cosα=(3/4) and 0<α<(π/2), determine the exact value of cos(α/2).
Identity:
calculator check:
cos(a)=3/4
a≈41.4096˚
a/2≈20.7048˚
cos(a/2)=cos(20.7048)≈0.9354..
Exact value as calculated=√(7/8)≈0.9354..