Question

the graph below shows the angle
a = 300° inside the unit circle.

what is the reference angle?
degrees

the graph below shows the angle
a = 210° inside the unit circle.

what is the reference angle?
degrees

Explanation:

Step1: Determine the reference angle for \(300^{\circ}\)

For an angle \(A = 300^{\circ}\) in the fourth - quadrant (\(270^{\circ}

$$ \theta_{r}=360^{\circ}-300^{\circ}=60^{\circ} $$

Step2: Determine the reference angle for \(210^{\circ}\)

For an angle \(A = 210^{\circ}\) in the third - quadrant (\(180^{\circ}

$$ \theta_{r}=210^{\circ}-180^{\circ}=30^{\circ} $$

Answer:

60, 30