SOLUTION: find the exact value of cos theta/2 if sec theta=4 and theta lies in quadrant 1

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Question 320808: find the exact value of cos theta/2 if sec theta=4 and theta lies in quadrant 1
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Hard tellin'

I can't figure out whether you want the value of or


John


Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!


If you want  then since , then 

But I think you want .  You need to put parentheses
so we can tell what you want.

We use the half-angle formula:



Now 

So 



Now we can determine the sign by realizing that since  is in
quadrant I, that half of it, , will also be in the first quadrant,
and in quadrant I, and all trig functions of angles in quadrant I are positive.

So we have



Edwin

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