SOLUTION: I need to prove that: sin^2(x/2)=(csc(x)-cot(x))/(2csc(x))

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Question 191182: I need to prove that: sin^2(x/2)=(csc(x)-cot(x))/(2csc(x))
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
The right side = %28csc%28x%29-cot%28x%29%29%2F%282csc%28x%29%29
=%28csc%28x%29-cot%28x%29%29%2F%282%2Fsin%28x%29%29
=sin%28x%29%28csc%28x%29-cot%28x%29%29%2F2
=%28sin%28x%29csc%28x%29-sin%28x%29cot%28x%29%29%2F2
=%281+-+sin%28x%29%2Ftan%28x%29%29%2F2
=%281+-+sin%28x%29%2F%28sin%28x%29%2Fcos%28x%29%29%29%2F2
=%281-%28sin%28x%29cos%28x%29%29%2Fsin%28x%29%29%2F2
=%281-cos%28x%29%29%2F2
=%281-%281-2sin%5E2%28x%2F2%29%29%29%2F2
=%281+-1%2B2sin%5E2%28x%2F2%29%29%2F2
=sin%5E2%28x%2F2%29
= the left side