Trigonometry Examples

- \frac{53 π}{6}

$- \frac{53 π}{6}$

Step 1

Add

2 π

$2 π$ to

- \frac{53 π}{6}

$- \frac{53 π}{6}$ .

- \frac{53 π}{6} + 2 π

$- \frac{53 π}{6} + 2 π$

Step 2

The resulting angle of

- \frac{41 π}{6}

$- \frac{41 π}{6}$ is coterminal with

- \frac{53 π}{6}

$- \frac{53 π}{6}$ but isn't positive. Repeat the step.

- \frac{41 π}{6}

$- \frac{41 π}{6}$

Step 3

Add

2 π

$2 π$ to

- \frac{41 π}{6}

$- \frac{41 π}{6}$ .

- \frac{41 π}{6} + 2 π

$- \frac{41 π}{6} + 2 π$

Step 4

The resulting angle of

- \frac{29 π}{6}

$- \frac{29 π}{6}$ is coterminal with

- \frac{53 π}{6}

$- \frac{53 π}{6}$ but isn't positive. Repeat the step.

- \frac{29 π}{6}

$- \frac{29 π}{6}$

Step 5

Add

2 π

$2 π$ to

- \frac{29 π}{6}

$- \frac{29 π}{6}$ .

- \frac{29 π}{6} + 2 π

$- \frac{29 π}{6} + 2 π$

Step 6

The resulting angle of

- \frac{17 π}{6}

$- \frac{17 π}{6}$ is coterminal with

- \frac{53 π}{6}

$- \frac{53 π}{6}$ but isn't positive. Repeat the step.

- \frac{17 π}{6}

$- \frac{17 π}{6}$

Step 7

Add

2 π

$2 π$ to

- \frac{17 π}{6}

$- \frac{17 π}{6}$ .

- \frac{17 π}{6} + 2 π

$- \frac{17 π}{6} + 2 π$

Step 8

The resulting angle of

- \frac{5 π}{6}

$- \frac{5 π}{6}$ is coterminal with

- \frac{53 π}{6}

$- \frac{53 π}{6}$ but isn't positive. Repeat the step.

- \frac{5 π}{6}

$- \frac{5 π}{6}$

Step 9

Add

2 π

$2 π$ to

- \frac{5 π}{6}

$- \frac{5 π}{6}$ .

- \frac{5 π}{6} + 2 π

$- \frac{5 π}{6} + 2 π$

Step 10

The resulting angle of

\frac{7 π}{6}

$\frac{7 π}{6}$ is positive and coterminal with

- \frac{53 π}{6}

$- \frac{53 π}{6}$ .

\frac{7 π}{6}

$\frac{7 π}{6}$