Trigonometry Examples

$- \frac{8 π}{3}$

Step 1

Add $2 π$ to $- \frac{8 π}{3}$ .

$- \frac{8 π}{3} + 2 π$

Step 2

The resulting angle of $- \frac{2 π}{3}$ is coterminal with $- \frac{8 π}{3}$ but isn't positive. Repeat the step.

$- \frac{2 π}{3}$

Step 3

Add $2 π$ to $- \frac{2 π}{3}$ .

$- \frac{2 π}{3} + 2 π$

Step 4

The resulting angle of $\frac{4 π}{3}$ is positive and coterminal with $- \frac{8 π}{3}$ .

$\frac{4 π}{3}$