Trigonometry Examples

$- \frac{53 π}{6}$

Step 1

Add $2 π$ to $- \frac{53 π}{6}$ .

$- \frac{53 π}{6} + 2 π$

Step 2

The resulting angle of $- \frac{41 π}{6}$ is coterminal with $- \frac{53 π}{6}$ but isn't positive. Repeat the step.

$- \frac{41 π}{6}$

Step 3

Add $2 π$ to $- \frac{41 π}{6}$ .

$- \frac{41 π}{6} + 2 π$

Step 4

The resulting angle of $- \frac{29 π}{6}$ is coterminal with $- \frac{53 π}{6}$ but isn't positive. Repeat the step.

$- \frac{29 π}{6}$

Step 5

Add $2 π$ to $- \frac{29 π}{6}$ .

$- \frac{29 π}{6} + 2 π$

Step 6

The resulting angle of $- \frac{17 π}{6}$ is coterminal with $- \frac{53 π}{6}$ but isn't positive. Repeat the step.

$- \frac{17 π}{6}$

Step 7

Add $2 π$ to $- \frac{17 π}{6}$ .

$- \frac{17 π}{6} + 2 π$

Step 8

The resulting angle of $- \frac{5 π}{6}$ is coterminal with $- \frac{53 π}{6}$ but isn't positive. Repeat the step.

$- \frac{5 π}{6}$

Step 9

Add $2 π$ to $- \frac{5 π}{6}$ .

$- \frac{5 π}{6} + 2 π$

Step 10

The resulting angle of $\frac{7 π}{6}$ is positive and coterminal with $- \frac{53 π}{6}$ .

$\frac{7 π}{6}$