SOLUTION: Verify that the trigonometric equation is an identity. {{{ cot^2x = (csc x - 1)(csc x + 1) }}}

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Question 527226: Verify that the trigonometric equation is an identity.
+cot%5E2x+=+%28csc+x+-+1%29%28csc+x+%2B+1%29+
Answer by lwsshak3(6770) About Me  (Show Source):
You can put this solution on YOUR website!
cot^2x = (csc x - 1)(csc x + 1)
**
Starting with right side
(csc x - 1)(csc x + 1)
difference of squares
(csc^2x)-1
Identity: cot^2x+1=csc^2x
(csc^2x)-1=cot^2x
verified: right side=left side