Trigonometry Examples

$\cos (- x) + \cot (- x)$

Step 1

Simplify each term.

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Step 1.1

Since $\cos (- x)$ is an even function, rewrite $\cos (- x)$ as $\cos (x)$ .

$\cos (x) + \cot (- x)$

Step 1.2

Since $\cot (- x)$ is an odd function, rewrite $\cot (- x)$ as $- \cot (x)$ .

$\cos (x) - \cot (x)$

Step 1.3

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

$\cos (x) - \frac{\cos (x)}{\sin (x)}$

Step 2

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

$\cos (x) - \cot (x)$