Find the Reference Angle (-pi)/6

$\frac{- π}{6}$

Step 1

Find an angle that is positive, less than $2 π$ , and coterminal with $\frac{- π}{6}$ .

Add $2 π$ to $\frac{- π}{6}$ .

$\frac{- π}{6} + 2 π$

The resulting angle of $\frac{11 π}{6}$ is positive and coterminal with $\frac{- π}{6}$ .

$\frac{11 π}{6}$

Step 2

Since the angle $\frac{11 π}{6}$ is in the fourth quadrant, subtract $\frac{11 π}{6}$ from $2 π$ .

$2 π - \frac{11 π}{6}$

Step 3

Simplify the result.

To write $2 π$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$2 π \cdot \frac{6}{6} - \frac{11 π}{6}$

Combine fractions.

Combine $2 π$ and $\frac{6}{6}$ .

$\frac{2 π \cdot 6}{6} - \frac{11 π}{6}$

Combine the numerators over the common denominator.

$\frac{2 π \cdot 6 - 11 π}{6}$

Simplify the numerator.

Multiply $6$ by $2$ .

$\frac{12 π - 11 π}{6}$

Subtract $11 π$ from $12 π$ .

$\frac{π}{6}$