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

$\frac{\tan (θ)}{\cot (θ)}$

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

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

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

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

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

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

Simplify.

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

$\tan (θ) \frac{\sin (θ)}{\cos (θ)}$

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

$\tan (θ) \tan (θ)$

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

$\tan^{1} (θ) \tan (θ)$

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

$\tan^{1} (θ) \tan^{1} (θ)$

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

${\tan (θ)}^{1 + 1}$

Add $1$ and $1$ .

$\tan^{2} (θ)$