SOLUTION: Verify the identity. tan^2 x/2 = sec x-1/sec x+1

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Question 458198: Verify the identity.
tan^2 x/2 = sec x-1/sec x+1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Verify the identity.
tan^2 x/2 = sec x-1/sec x+1
..
Starting from left side
tan^2 x/2=(1-cosx)/(1+cosx)
=(1-cosx)/(1+cosx)
=[(1-1/secx)/(1+1/secx)]
=[(secx-1)/secx]/[(secx+1)/secx]
secx cancels out
(secx-1)/(secx+1)
verified: left side = right side