Answer
The identity is verified.
The graph of $f(y)=cot^2y(sec^2y-1)$
Work Step by Step
$1+tan^2y=sec^2y$
$tan^2y=sec^2y-1$
$cot^2y(sec^2y-1)=cot^2y~tan^2y=\frac{1}{tan^2y}·tan^2y=1$
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