Trigonometry Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

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

Step 2

Combine the opposite terms in $- \cot (x) + \sec (x) + \cot (x)$ .

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Step 2.1

Add $- \cot (x)$ and $\cot (x)$ .

$0 + \sec (x)$

Step 2.2

Add $0$ and $\sec (x)$ .

$\sec (x)$