SOLUTION: simplify the following trigonometric expression as possible: 1-cosx/sinx + sinx/1-cosx

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Question 728432: simplify the following trigonometric expression as possible:
1-cosx/sinx + sinx/1-cosx
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1-cosx/sinx + sinx/1-cosx
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= ((1-cos)^2 + sin^2)/(sin - sin*cos)
= 2sin^2/(sin - sin*cos)
= 2sin/(1 - cos)