Trigonometry Examples

$\tan (x) + \frac{1}{\tan (x)}$

Step 1

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

$\tan (x) + \frac{1}{\frac{\sin (x)}{\cos (x)}}$

Step 2

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

$\tan (x) + \frac{\cos (x)}{\sin (x)}$

Step 3

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

$\tan (x) + \cot (x)$