Find the Reference Angle (10pi)/13

$\frac{10 π}{13}$

Step 1

Since the angle $\frac{10 π}{13}$ is in the second quadrant, subtract $\frac{10 π}{13}$ from $π$ .

$π - \frac{10 π}{13}$

Step 2

Simplify the result.

To write $π$ as a fraction with a common denominator, multiply by $\frac{13}{13}$ .

$π \cdot \frac{13}{13} - \frac{10 π}{13}$

Combine fractions.

Combine $π$ and $\frac{13}{13}$ .

$\frac{π \cdot 13}{13} - \frac{10 π}{13}$

Combine the numerators over the common denominator.

$\frac{π \cdot 13 - 10 π}{13}$

Simplify the numerator.

Move $13$ to the left of $π$ .

$\frac{13 \cdot π - 10 π}{13}$

Subtract $10 π$ from $13 π$ .

$\frac{3 π}{13}$