Precalculus Examples

$x = \arctan (- \sqrt{\frac{3}{3}})$

Step 1

Simplify $\arctan (- \sqrt{\frac{3}{3}})$ .

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Step 1.1

Divide $3$ by $3$ .

$x = \arctan (- \sqrt{1})$

Step 1.2

Any root of $1$ is $1$ .

$x = \arctan (- 1 \cdot 1)$

Step 1.3

Multiply $- 1$ by $1$ .

$x = \arctan (- 1)$

Step 1.4

The exact value of $\arctan (- 1)$ is $- \frac{π}{4}$ .

$x = - \frac{π}{4}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{π}{4}$

Decimal Form:

$x = - 0.78539816 \dots$