Trigonometry Examples

$\sin (\frac{2 π}{6})$

Step 1

Cancel the common factor of $2$ and $6$ .

Tap for more steps...

Step 1.1

Factor $2$ out of $2 π$ .

$\sin (\frac{2 (π)}{6})$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $2$ out of $6$ .

$\sin (\frac{2 π}{2 \cdot 3})$

Step 1.2.2

Cancel the common factor.

$\sin (\frac{2 π}{2 \cdot 3})$

Step 1.2.3

Rewrite the expression.

$\sin (\frac{π}{3})$

Step 2

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

$\frac{\sqrt{3}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{2}$

Decimal Form:

$0.86602540 \dots$