Find the Reference Angle 780 degrees

$780 °$

Find an angle that is positive, less than $360 °$ , and coterminal with $780 °$ .

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Subtract $360 °$ from $780 °$ .

$780 ° - 360 °$

The resulting angle of $420 °$ is positive and coterminal with $780 °$ but isn’t less than $360 °$ . Repeat the step.

$420 °$

Subtract $360 °$ from $420 °$ .

$420 ° - 360 °$

The resulting angle of $60 °$ is positive, less than $360 °$ , and coterminal with $780 °$ .

$60 °$

Since $60 °$ is in the first quadrant, the reference angle is $60 °$ .

$60 °$

Find the Reference Angle 780 degrees

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