Trigonometry Examples

$- 165$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 165 °$ .

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Step 1.1

Add $360 °$ to $- 165 °$ .

$- 165 ° + 360 °$

Step 1.2

The resulting angle of $195 °$ is positive and coterminal with $- 165 °$ .

$195 °$

Step 2

Since the angle $180 °$ is in the third quadrant, subtract $180 °$ from $195 °$ .

$195 ° - 180 °$

Step 3

Subtract $180$ from $195$ .

$15 °$