Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

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

Step 5

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

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

Step 6

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

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