Question

the measures of two angles in standard position are given. determine whether the angles are coterminal. $\frac{35pi}{3}$, $\frac{14pi}{3}$
o the angles are coterminal.
o the angles are not coterminal.

Explanation:

Step1: Find the difference between the two angles

$\frac{35\pi}{3}-\frac{14\pi}{3}=\frac{35\pi - 14\pi}{3}=\frac{21\pi}{3}=7\pi$

Step2: Check if the difference is a multiple of $2\pi$

Since $7\pi$ is not a multiple of $2\pi$ (i.e., $7\pi
eq 2k\pi$ for an integer $k$), the angles are not coterminal.

Answer:

The angles are not coterminal.