Evaluate (cot(theta))/(tan(theta))

$\frac{\cot (θ)}{\tan (θ)}$

Rewrite $\tan (θ)$ in terms of sines and cosines.

$\frac{\cot (θ)}{\frac{\sin (θ)}{\cos (θ)}}$

Rewrite $\cot (θ)$ in terms of sines and cosines.

$\frac{\frac{\cos (θ)}{\sin (θ)}}{\frac{\sin (θ)}{\cos (θ)}}$

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

$\frac{\cos (θ)}{\sin (θ)} \cdot \frac{\cos (θ)}{\sin (θ)}$

Simplify.

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

$\cot (θ) \frac{\cos (θ)}{\sin (θ)}$

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

$\cot (θ) \cot (θ)$

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

$\cot^{1} (θ) \cot (θ)$

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

$\cot^{1} (θ) \cot^{1} (θ)$

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

${\cot (θ)}^{1 + 1}$

Add $1$ and $1$ .

$\cot^{2} (θ)$