Precalculus Examples

$- 555$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 555 °$ .

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Step 1.1

Add $360 °$ to $- 555 °$ .

$- 555 ° + 360 °$

Step 1.2

The resulting angle of $- 195 °$ is coterminal with $- 555 °$ but isn't positive. Repeat the step.

$- 195 °$

Step 1.3

Add $360 °$ to $- 195 °$ .

$- 195 ° + 360 °$

Step 1.4

The resulting angle of $165 °$ is positive and coterminal with $- 555 °$ .

$165 °$

Step 2

Since the angle $165 °$ is in the second quadrant, subtract $165 °$ from $180 °$ .

$180 ° - 165 °$

Step 3

Subtract $165$ from $180$ .

$15 °$