SOLUTION: tan(a)=7/sqrt(32) and pi<a<3pi/2. Find the exact value of tan (a/2). I found the cos which is sqrt(32)/9. I plugged it in the half-angle identity for tan which is +-sqrt(1-cos a/1+

Algebra ->  Trigonometry-basics -> SOLUTION: tan(a)=7/sqrt(32) and pi<a<3pi/2. Find the exact value of tan (a/2). I found the cos which is sqrt(32)/9. I plugged it in the half-angle identity for tan which is +-sqrt(1-cos a/1+      Log On


   



Question 925659: tan(a)=7/sqrt(32) and pi
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
tan(a)=7/sqrt(32) and pi ----------------
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*** cos is negative in Q3. cos(a) = -sqrt(32)/9
Use tan(a/2) = sin(a)/(1 + cos(a))
sin(a) = -7/9
tan(a/2) = %28-7%2F9%29%2F%281+-+sqrt%2832%29%2F9%29
= -7/(9 - sqrt(32))
= 7%2A%289+%2B+sqrt%2832%29%29%2F%2881+-+32%29
tan%28a%2F2%29+=+%289+%2B+sqrt%2832%29%29%2F7