SOLUTION: Verify following is an identity. (1-cos(x))/(1+cos(x))=(csc(x)-cot(x))^2

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Question 397851: Verify following is an identity.
(1-cos(x))/(1+cos(x))=(csc(x)-cot(x))^2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Verify following is an identity.
(1-cos(x))/(1+cos(x))=(csc(x)-cot(x))^2
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Change everything to sines and cosines
(1-cos(x))/(1+cos(x))=(1/sin(x) - cos(x)/sin(x))^2
(1 - cos)/(1+cos) = ((1 - cos)/sin)^2
1/(1+cos) = (1-cos)/sin^2
sin^2 = 1-cos^2
I'm convinced.