SOLUTION: Please help me simplify this: (sinx/1-cosx)+ (1-cosx/sinx)

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Question 1056929: Please help me simplify this: (sinx/1-cosx)+ (1-cosx/sinx)
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(sinx/1-cosx)+ (1-cosx/sinx)
= (sin^2 + 1 - cos^2)/(sin(1 - cos))
= 2sin^2/(sin(1-cos))
= 2sin/(1 - cos)

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please help me simplify this: (sinx/1-cosx)+ (1-cosx/sinx)
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sin%28x%29%2F%281-cos%28x%29%29 +  %281-cos%28x%29%29%2Fsinx = %28sin%5E2%28x%29+%2B+%281-cos%28x%29%29%5E2%29%2F%28sin%28x%29%2A%281-cos%28x%29%29%29 =  = %282+-+2%2Acos%28x%29%29%2F%28sin%28x%29%2A%281-cos%28x%29%29%29 = 

%282%2A%281-cos%28x%29%29%29%2F%28sin%28x%29%2A%281-cos%28x%29%29%29 = 2%2Fsin%28x%29.