Question

Given that –360° < β < 360°, the positive coterminal angle(s) with β = –310° is/are

A) 50°
B) 70°
C) -50°
D) -70°

Answer 1

The positive coterminal angle with β = –310° is 50°(A).

Step-by-step explanation:

The positive coterminal angles with β = –310° can be found by adding or subtracting multiples of 360° from -310° until the angle falls within the range of -360° to 360°.

First, let's add 360° to -310°: -310° + 360° = 50°.

Next, let's subtract 360° from -310°: -310° - 360° = -670°. However, since -670° is outside the range of -360° to 360°, it is not a valid coterminal angle.

Therefore, the positive coterminal angle with β = –310° is 50°. So the correct answer is A) 50°.