Precalculus Examples

$\frac{1}{\tan (- \sqrt{3})}$

Step 1

Rewrite $\tan (- \sqrt{3})$ in terms of sines and cosines.

$\frac{1}{\frac{\sin (- \sqrt{3})}{\cos (- \sqrt{3})}}$

Step 2

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (- \sqrt{3})}{\cos (- \sqrt{3})}$ .

$\frac{\cos (- \sqrt{3})}{\sin (- \sqrt{3})}$

Step 3

Convert from $\frac{\cos (- \sqrt{3})}{\sin (- \sqrt{3})}$ to $\cot (- \sqrt{3})$ .

$\cot (- \sqrt{3})$

Step 4

Since $\cot (- \sqrt{3})$ is an odd function, rewrite $\cot (- \sqrt{3})$ as $- \cot (\sqrt{3})$ .

$- \cot (\sqrt{3})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \cot (\sqrt{3})$

Decimal Form:

$0.16266687 \dots$