Find the Reference Angle -(35pi)/6

$- \frac{35 π}{6}$

Step 1

Find an angle that is positive, less than $2 π$ , and coterminal with $- \frac{35 π}{6}$ .

Add $2 π$ to $- \frac{35 π}{6}$ .

$- \frac{35 π}{6} + 2 π$

The resulting angle of $- \frac{23 π}{6}$ is coterminal with $- \frac{35 π}{6}$ but isn\'t positive. Repeat the step.

$- \frac{23 π}{6}$

Add $2 π$ to $- \frac{23 π}{6}$ .

$- \frac{23 π}{6} + 2 π$

The resulting angle of $- \frac{11 π}{6}$ is coterminal with $- \frac{35 π}{6}$ but isn\'t positive. Repeat the step.

$- \frac{11 π}{6}$

Add $2 π$ to $- \frac{11 π}{6}$ .

$- \frac{11 π}{6} + 2 π$

The resulting angle of $\frac{π}{6}$ is positive and coterminal with $- \frac{35 π}{6}$ .

$\frac{π}{6}$

Step 2

Since $\frac{π}{6}$ is in the first quadrant, the reference angle is $\frac{π}{6}$ .

$\frac{π}{6}$