Question

9
multiple choice 1 point,
which of the following angles is not coterminal with the other three?
718°
-2°
358°
178°

Explanation:

Step1: Find coterminal angles

Coterminal angles differ by \(360^{\circ}n\) (\(n\in\mathbb{Z}\)).
For \(718^{\circ}\): \(718 - 2\times360=718 - 720=- 2^{\circ}\).
For \(358^{\circ}\): \(358-360=-2^{\circ}\).
For \(178^{\circ}\): \(178 - 360=-182^{\circ}\), \(178+360 = 538^{\circ}\) etc. It cannot be written as \(-2^{\circ}+360^{\circ}n\) (\(n\in\mathbb{Z}\)).

Answer:

\(178^{\circ}\)