Question

current attempt in progress
find the reference angle for the angle 286°.
16°
74°
86°
106°
164°

Explanation:

Step1: Determine the quadrant

Since \(270^{\circ}<286^{\circ}<360^{\circ}\), the angle \(286^{\circ}\) is in the fourth quadrant.

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 \(\theta = 286^{\circ}\) into the formula: \(\theta_{r}=360^{\circ}- 286^{\circ}\)

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Answer:

\(74^{\circ}\) (the second option)