Question

13 multiple choice 1 point in which quadrant does the terminal side of a - 312° angle lie? second quadrant third quadrant fourth quadrant first quadrant 14 multiple choice 1 point which of the following angles is not coterminal with the other three? 349° 169°

Explanation:

Step1: Find a positive coterminal angle

To find the coterminal angle of \(-312^{\circ}\), we use the formula \(\theta + 360^{\circ}n\) (\(n\in\mathbb{Z}\)). Let \(n = 1\), then \(-312^{\circ}+360^{\circ}=48^{\circ}\).

Step2: Determine the quadrant

Since \(0^{\circ}<48^{\circ}<90^{\circ}\), an angle of \(48^{\circ}\) lies in the first quadrant.

Answer:

first quadrant