Trigonometry Examples

$\arctan (x) = \frac{π}{6}$

Step 1

Take the inverse arctangent of both sides of the equation to extract $x$ from inside the arctangent.

$x = \tan (\frac{π}{6})$

Step 2

Simplify the right side.

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Step 2.1

The exact value of $\tan (\frac{π}{6})$ is $\frac{\sqrt{3}}{3}$ .

$x = \frac{\sqrt{3}}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{\sqrt{3}}{3}$

Decimal Form:

$x = 0.57735026 \dots$