SOLUTION: given sin theta= -root 7/4 and theta is in quadrant IV, find the exact value of cos theta/2

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Question 752009: given sin theta= -root 7/4 and theta is in quadrant IV, find the exact value of cos theta/2
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
given sin theta= -root 7/4 and theta is in quadrant IV, find the exact value of cos theta/2
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( in Q3 where cos<0)
..
Check with calculator:
sinx=-√7/4 (in Q4)
x=318.49º
x/2=159.30º (in Q3)
cos(x/2)=cos(159.30º)≈-0.9354..
Exact value=-√(7/8)≈-0.9354..

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