Simplify (csc(x)cot(x))/(sec(x))

$\frac{\csc (x) \cot (x)}{\sec (x)}$

Separate fractions.

$\frac{\cot (x)}{1} \cdot \frac{\csc (x)}{\sec (x)}$

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

$\frac{\cot (x)}{1} \cdot \frac{\csc (x)}{\frac{1}{\cos (x)}}$

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

$\frac{\cot (x)}{1} \cdot \frac{\frac{1}{\sin (x)}}{\frac{1}{\cos (x)}}$

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

$\frac{\cot (x)}{1} \cdot \frac{\cos (x)}{\sin (x)}$

Convert from $\frac{\cos (x)}{\sin (x)}$ to $\cot (x)$ .

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

Divide $\cot (x)$ by $1$ .

$\cot (x) \cot (x)$

Multiply $\cot (x) \cot (x)$ .

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

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

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

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

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

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

Add $1$ and $1$ .

$\cot^{2} (x)$

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Simplify (csc(x)cot(x))/(sec(x))

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