Trigonometry Examples

$510$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $510 °$ .

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Step 1.1

Subtract $360 °$ from $510 °$ .

$510 ° - 360 °$

Step 1.2

The resulting angle of $150 °$ is positive, less than $360 °$ , and coterminal with $510 °$ .

$150 °$

Step 2

Since the angle $150 °$ is in the second quadrant, subtract $150 °$ from $180 °$ .

$180 ° - 150 °$

Step 3

Subtract $150$ from $180$ .

$30 °$