Simplify (sin(x))/(csc(x))

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

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

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

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (x)}$ .

$\sin (x) \sin (x)$

Simplify.

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Raise $\sin (x)$ to the power of $1$ .

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

Raise $\sin (x)$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\sin (x)}^{1 + 1}$

Add $1$ and $1$ .

$\sin^{2} (x)$

Simplify (sin(x))/(csc(x))

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