Find the Reference Angle (10pi)/7

$\frac{10 π}{7}$

Step 1

Since the angle $π$ is in the third quadrant, subtract $π$ from $\frac{10 π}{7}$ .

$\frac{10 π}{7} - π$

Step 2

Simplify the result.

To write $- π$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{10 π}{7} - π \cdot \frac{7}{7}$

Combine fractions.

Combine $- π$ and $\frac{7}{7}$ .

$\frac{10 π}{7} + \frac{- π \cdot 7}{7}$

Combine the numerators over the common denominator.

$\frac{10 π - π \cdot 7}{7}$

Simplify the numerator.

Multiply $7$ by $- 1$ .

$\frac{10 π - 7 π}{7}$

Subtract $7 π$ from $10 π$ .

$\frac{3 π}{7}$