Verify the Identity csc(x)-cot(x)=1/(csc(x)+cot(x))

$\csc (x) - \cot (x) = \frac{1}{\csc (x) + \cot (x)}$

The provided equation is an identity but there are no steps available.

$\csc (x) - \cot (x) = \frac{1}{\csc (x) + \cot (x)}$ is an identity

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