SOLUTION: prove that (cos A cot A)/(1-sin A) = 1 + cosec A

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Question 769371: prove that (cos A cot A)/(1-sin A) = 1 + cosec A
Answer by lwsshak3(11628) About Me  (Show Source):
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prove that (cos A cot A)/(1-sin A) = 1 + cosec A
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cos%28A%29cot%28A%29%2F%281-sin%28A%29%29=1%2Bcsc%28A%29
start with left hand side
cos%28A%29cot%28A%29%2F%281-sin%28A%29%29
%28cos%28A%29cos%28A%29%2Fsin%28A%29%29%2F%281-sin%28A%29%29

=1+csc(A)
Verified: left hand side=right hand side