SOLUTION: what is the trig identity used to obtain the expression (cscx-1)(1+cscx)?

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Question 1012148: what is the trig identity used to obtain the expression (cscx-1)(1+cscx)?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The product is csc^2 (x)-1
That is (1/sin^2(x)) -1
putting everything over sin^2 (x)
(1-sin^2 (x))/sin^2 (x)
But 1-sin^2 (x)=cos^2 (x)
Therefore, the identity is cos^2 (x)/sin^2 (x)
That is cot ^2 (x)