Trigonometry Examples

$- 150$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 150 °$ .

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Step 1.1

Add $360 °$ to $- 150 °$ .

$- 150 ° + 360 °$

Step 1.2

The resulting angle of $210 °$ is positive and coterminal with $- 150 °$ .

$210 °$

Step 2

Since the angle $180 °$ is in the third quadrant, subtract $180 °$ from $210 °$ .

$210 ° - 180 °$

Step 3

Subtract $180$ from $210$ .

$30 °$