Question

question 9 (1 point)
what reference angle should be used for an angle of 300° in standard position?
o a) 300°
o b) 60°
o c) 30°
o 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 formula for reference angle in 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: \(\theta_{r}=360^{\circ}- 300^{\circ}\)
\(\theta_{r}=60^{\circ}\)

Answer:

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