Precalculus Examples

$\sin (- \frac{11}{6} \cdot π)$

Step 1

Combine $π$ and $\frac{11}{6}$ .

$\sin (- \frac{π \cdot 11}{6})$

Step 2

Move $11$ to the left of $π$ .

$\sin (- \frac{11 \cdot π}{6})$

Step 3

Add full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\sin (\frac{π}{6})$

Step 4

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

$\frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$