SOLUTION: please prove: 1-cosx/1+cosx=(cscx-cotx)squared

Question 230148: please prove: 1-cosx/1+cosx=(cscx-cotx)squared
Answer by chibisan(131) (Show Source): You can put this solution on YOUR website!
lets rationalize by multiplying the denominator and numerator by 1-cosx
(1-cosx)^2 / (1-cos^2x)
1-2cosx+cos^2x / sin^2x

1/sin^2x -2cosx/sin^2x + cos^2x/sin^2x
cosec^2x -2cosx/sin^2x + cot^2x
(cosecx-cotx)^2(proven)
[ by using a^2 - 2ab + b^2 = (a-b)^2 ]
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