Question

find the reference angle for the angle 351°. the reference angle is °. (type an integer or a decimal.)

Explanation:

Step1: Determine the quadrant

The angle \(351^{\circ}\) lies in the fourth - quadrant since \(270^{\circ}<351^{\circ}<360^{\circ}\).

Step2: Calculate the reference angle

For an angle \(\theta\) in the fourth - quadrant, the reference angle \(\alpha\) is given by \(\alpha = 360^{\circ}-\theta\). Here, \(\theta = 351^{\circ}\), so \(\alpha=360^{\circ}-351^{\circ}=9^{\circ}\).

Answer:

\(9\)