SOLUTION: Verify the identity help needed? sinx+siny/sinx-siny= tan(x+y/2)cot(x-y/2)

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Question 154114: Verify the identity help needed?

sinx+siny/sinx-siny= tan(x+y/2)cot(x-y/2)
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Use these two formulas:
sin+x+%2B+sin+y+=+2sin%28%28x%2By%29%2F2%29%2Acos%28%28x-y%29%2F2%29
sin+x+-+sin+y+=+2cos%28%28x%2By%29%2F2%29%2Asin%28%28x-y%29%2F2%29
So
%28sinx%2Bsiny%29%2F%28sinx-siny%29
=
=
=
=
=tan%28%28x%2By%29%2F2%29cot%28%28x-y%29%2F2%29