SOLUTION: Find cos theta/2 exactly if tan theta= -7/12 and theta is in Quadrant IV.

Question 613555: Find cos theta/2 exactly if tan theta= -7/12 and theta is in Quadrant IV.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find cos theta/2 exactly if tan theta= -7/12 and theta is in Quadrant IV
using x in place of theta
tanx=-7/12
hypotenuse of reference angle in quadrant IV=√(7^2+12^2)=√193
cosx=12/√193
Using cos half-angle formula:
cos(x/2)=�√[(1+cosx)/2]
=√[(1+(12/√193)/2]
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