Precalculus Examples

$\frac{1}{\cot (- θ)}$

Step 1

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

$\frac{1}{\frac{\cos (- θ)}{\sin (- θ)}}$

Step 2

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

$\frac{\sin (- θ)}{\cos (- θ)}$

Step 3

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

$\tan (- θ)$

Step 4

Since $\tan (- θ)$ is an odd function, rewrite $\tan (- θ)$ as $- \tan (θ)$ .

$- \tan (θ)$