Trigonometry Examples

$580 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $580 °$ .

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Step 1.1

Subtract $360 °$ from $580 °$ .

$580 ° - 360 °$

Step 1.2

The resulting angle of $220 °$ is positive, less than $360 °$ , and coterminal with $580 °$ .

$220 °$

Step 2

Since the angle $180 °$ is in the third quadrant, subtract $180 °$ from $220 °$ .

$220 ° - 180 °$

Step 3

Subtract $180$ from $220$ .

$40 °$