Question

question 24 (1 point)
what reference angle should be used for an angle of 300° in standard position?
a) 30°
b) 300°
c) 60°
d) 45°

Explanation:

Step1: Determine the quadrant

An angle of \(300^{\circ}\) is in the fourth quadrant (\(270^{\circ}<300^{\circ}<360^{\circ}\)).

Step2: Use the reference - angle formula for the fourth quadrant

The formula for the reference angle \(\theta_{r}\) of an angle \(\theta\) in the fourth quadrant is \(\theta_{r}=360^{\circ}-\theta\).
Substitute \(\theta = 300^{\circ}\) into the formula: \(\theta_{r}=360^{\circ}-300^{\circ}\).

Step3: Calculate the reference angle

\(360^{\circ}-300^{\circ}=60^{\circ}\)

Answer:

C. \(60^{\circ}\)