Simplify (1-cos(x)^2)(csc(x))

$(1 - \cos^{2} (x)) (\csc (x))$

Apply pythagorean identity.

$\sin^{2} (x) \csc (x)$

Rewrite $\csc (x)$ in terms of sines and cosines.

$\sin^{2} (x) \frac{1}{\sin (x)}$

Cancel the common factor of $\sin (x)$ .

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Factor $\sin (x)$ out of $\sin^{2} (x)$ .

$\sin (x) \sin (x) \frac{1}{\sin (x)}$

Cancel the common factor.

$\sin (x) \sin (x) \frac{1}{\sin (x)}$

Rewrite the expression.

$\sin (x)$

Simplify (1-cos(x)^2)(csc(x))

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