SOLUTION: if cos theta = 7/25 and theta is not acute, find the value of tan 1/2 theta

Question 960601: if cos theta = 7/25 and theta is not acute, find the value of tan 1/2 theta
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!
cos theta = 7/25 and theta is not acute, find the value of tan 1/2 theta

 

So we will need .  So we will need the identity:



Since q is not acute, it is not in the 1st quadrant and the only other quadrant
that the cosine is positive in is the 4th quadrant.  The sine is negative in
the 4th quadrant, so the identity uses the - sign:

  



Multiply top and bottom by 25



Edwin

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