Question

find the reference angle for the angle 342°. the reference angle is $square^{circ}$. (type an integer or a decimal.)

Explanation:

Step1: Determine the quadrant

The angle $342^{\circ}$ lies in the fourth - quadrant since $270^{\circ}<342^{\circ}<360^{\circ}$.

Step2: Calculate the reference angle

For an angle $\theta$ in the fourth - quadrant, the reference angle $\theta_{r}=360^{\circ}-\theta$. Here, $\theta = 342^{\circ}$, so $\theta_{r}=360^{\circ}-342^{\circ}=18^{\circ}$.

Answer:

$18$