Verify the Identity 1+cot(x)^2=csc(x)^2

$1 + \cot^{2} (x) = \csc^{2} (x)$

Start on the left side.

$1 + \cot^{2} (x)$

Apply pythagorean identity.

$\csc^{2} (x)$

Because the two sides have been shown to be equivalent, the equation is an identity.

$1 + \cot^{2} (x) = \csc^{2} (x)$ is an identity

Verify the Identity 1+cot(x)^2=csc(x)^2

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