SOLUTION: verify idenity csc x = (sin x)/2(1 + cosx) + (sin x)/2(1-cosx)

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Question 433312: verify idenity
csc x = (sin x)/2(1 + cosx) + (sin x)/2(1-cosx)



Answer by katealdridge(100) About Me  (Show Source):
You can put this solution on YOUR website!
sinx%2F%282%281%2Bcosx%29%29%2Bsinx%2F%282%281-cosx%29%29=cscx
Multiplying by the conjugate is sometimes a good way to start.




%282sin%28x%29%2B2sin%28x%29%29%2F%284-4cos%5E2%28x%29%29=cscx
%284sin%28x%29%29%2F%284-4cos%5E2%28x%29%29=cscx
%284sin%28x%29%29%2F%284%281-cos%5E2%28x%29%29%29=cscx
%28sin%28x%29%29%2F%281-cos%5E2%28x%29%29=cscx
%28sin%28x%29%29%2F%28sin%5E2%28x%29%29=cscx
1%2F%28sin%28x%29%29=cscx
cscx=cscx
That was the hardest thing I ever had to type on here. I hope you understand it!