Find the Reference Angle (29pi)/9

$\frac{29 π}{9}$

Step 1

Find an angle that is positive, less than $2 π$ , and coterminal with $\frac{29 π}{9}$ .

Subtract $2 π$ from $\frac{29 π}{9}$ .

$\frac{29 π}{9} - 2 π$

The resulting angle of $\frac{11 π}{9}$ is positive, less than $2 π$ , and coterminal with $\frac{29 π}{9}$ .

$\frac{11 π}{9}$

Step 2

Since the angle $π$ is in the third quadrant, subtract $π$ from $\frac{11 π}{9}$ .

$\frac{11 π}{9} - π$

Step 3

Simplify the result.

To write $- π$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{11 π}{9} - π \cdot \frac{9}{9}$

Combine fractions.

Combine $- π$ and $\frac{9}{9}$ .

$\frac{11 π}{9} + \frac{- π \cdot 9}{9}$

Combine the numerators over the common denominator.

$\frac{11 π - π \cdot 9}{9}$

Simplify the numerator.

Multiply $9$ by $- 1$ .

$\frac{11 π - 9 π}{9}$

Subtract $9 π$ from $11 π$ .

$\frac{2 π}{9}$