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

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Question 168933: Verify the identity:
(1-cosx)/(sinx)+(sinx)/(1-cosx)=2cscx
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
multiplying by sinx __ (1-cosx) + (sinx^2)/(1-cosx) = 2

substituting __ (1-cosx) + (1-cosx^2)/(1-cosx) = 2

factoring __ (1-cosx) + [(1+cos)(1-cosx)]/(1-cosx) = 2

cancelling __ 1-cosx + 1+cosx = 2 __ 2=2