Trigonometry Examples

$\cot (- x) = - \cot (x)$

Step 1

Simplify the left side.

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Step 1.1

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

$- \cot (x) = - \cot (x)$

Step 2

Move all terms containing $\cot (x)$ to the left side of the equation.

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Step 2.1

Add $\cot (x)$ to both sides of the equation.

$- \cot (x) + \cot (x) = 0$

Step 2.2

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

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true for any value of $x$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$