Trigonometry Examples

$\arctan (2 \sin (\frac{π}{3}))$

Step 1

The exact value of $\sin (\frac{π}{3})$ is $\frac{\sqrt{3}}{2}$ .

$\arctan (2 \frac{\sqrt{3}}{2})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\arctan (2 \frac{\sqrt{3}}{2})$

Step 2.2

Rewrite the expression.

$\arctan (\sqrt{3})$

Step 3

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

$\frac{π}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{3}$

Decimal Form:

$1.04719755 \dots$