Trigonometry Examples

$- 485 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 485 °$ .

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Step 1.1

Add $360 °$ to $- 485 °$ .

$- 485 ° + 360 °$

Step 1.2

The resulting angle of $- 125 °$ is coterminal with $- 485 °$ but isn't positive. Repeat the step.

$- 125 °$

Step 1.3

Add $360 °$ to $- 125 °$ .

$- 125 ° + 360 °$

Step 1.4

The resulting angle of $235 °$ is positive and coterminal with $- 485 °$ .

$235 °$

Step 2

Since the angle $180 °$ is in the third quadrant, subtract $180 °$ from $235 °$ .

$235 ° - 180 °$

Step 3

Subtract $180$ from $235$ .

$55 °$