SOLUTION: Verify that (sinx)/(1-cosx)+(1-cosx)/sinx = 2cscx

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Question 692462: Verify that (sinx)/(1-cosx)+(1-cosx)/sinx = 2cscx
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!

= +%28+sin%5E2%28x%29%2B%281-2cosx%2Bcos%5E2%28x%29%29+%29+%2F+%281-cosx%29%28sinx%29+
= +%28+sin%5E2%28x%29%2B+cos%5E2%28x%29%2B1+-+2cosx+%29+%2F+%281-cosx%29%28sinx%29+
= +%28+1%2B+1+-+2cosx+%29+%2F+%281-cosx%29%28sinx%29+
= +%28+2+-+2cosx+%29+%2F+%281-cosx%29%28sinx%29+
= +2%281+-+cosx%29+%2F+%281-cosx%29%28sinx%29+
= +2+%2F+sinx+
= +2+cscx+ QED