Question

what is the reference angle for a 240° angle?
○ 30°
○ 60°
○ 180°
○ 270°

Explanation:

Step1: Determine Quadrant

A \(240^\circ\) angle is in the third quadrant (since \(180^\circ < 240^\circ < 270^\circ\)).

Step2: Calculate Reference Angle

For angles in the third quadrant, the reference angle is calculated as \(\theta - 180^\circ\), where \(\theta\) is the given angle. So, \(240^\circ - 180^\circ = 60^\circ\).

Answer:

\(60^\circ\) (corresponding to the option with \(60^\circ\))