Precalculus Examples

$1589$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $1589 °$ .

Tap for more steps...

Step 1.1

Subtract $360 °$ from $1589 °$ .

$1589 ° - 360 °$

Step 1.2

The resulting angle of $1229 °$ is positive and coterminal with $1589 °$ but isn't less than $360 °$ . Repeat the step.

$1229 °$

Step 1.3

Subtract $360 °$ from $1229 °$ .

$1229 ° - 360 °$

Step 1.4

The resulting angle of $869 °$ is positive and coterminal with $1589 °$ but isn't less than $360 °$ . Repeat the step.

$869 °$

Step 1.5

Subtract $360 °$ from $869 °$ .

$869 ° - 360 °$

Step 1.6

The resulting angle of $509 °$ is positive and coterminal with $1589 °$ but isn't less than $360 °$ . Repeat the step.

$509 °$

Step 1.7

Subtract $360 °$ from $509 °$ .

$509 ° - 360 °$

Step 1.8

The resulting angle of $149 °$ is positive, less than $360 °$ , and coterminal with $1589 °$ .

$149 °$

Step 2

Since the angle $149 °$ is in the second quadrant, subtract $149 °$ from $180 °$ .

$180 ° - 149 °$

Step 3

Subtract $149$ from $180$ .

$31 °$