Question

reference angle of 60 degree
180
120
300
60

Explanation:

Step1: Recall reference angle definition

The reference angle of an angle \( \theta \) (in standard position) is the acute angle formed by the terminal side of \( \theta \) and the x - axis. For an angle in the first quadrant (\( 0^\circ<\theta < 90^\circ\)), the reference angle is equal to the angle itself.

Step2: Determine the quadrant of \( 60^\circ \)

Since \( 0^\circ<60^\circ < 90^\circ \), the angle \( 60^\circ \) lies in the first quadrant.

Step3: Calculate the reference angle

For an angle in the first quadrant, the reference angle \( r=\theta \). So for \( \theta = 60^\circ \), the reference angle \( r = 60^\circ \).

Answer:

60 (the option with value 60, i.e., the red - colored option with 60)