SOLUTION: Verify the identity Tan^2 (theta/2) = (sec theta - 1) / (sec theta + 1)

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Question 1159694: Verify the identity
Tan^2 (theta/2) = (sec theta - 1) / (sec theta + 1)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

tan%5E2+%28theta%2F2%29+=+%28sec%28+theta+%29-+1%29+%2F+%28sec+%28theta%29+%2B+1%29

manipulate left side:

tan%5E2+%28theta%2F2%29+

=%281+-+cos%28theta%29%29%2F%28cos%28theta%29+%2B+1%29.....since cos%28theta%29=+1%2Fsec%28theta%29

=%281+-+1%2Fsec%28theta%29%29%2F%281%2Fsec%28theta%29+%2B+1%29

=

=

=%28sec%28theta%29+-+1%29%2F%281+%2B+sec%28theta%29%29-> proven