Question

Find an angle in the normal range (0° to 360°, or 0 to 2pi radians) whose terminal side points in the same direction as the terminal side of an angle measuring -312°

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Answer 1

a. 48°

Explanation:

To get an angle between 0 and 360, just keep on adding/subtraction 360° to the given angle till you find an angle in the required interval

-312 + 360 = 48°

Answer 2

A

Explanation:

Our angle is -312 degrees, but because angles on the unit circle are always periodic and repeat every 2π or 360°, that means if we add a certain multiple of 360 to -312, we should get an angle with the terminal side pointing in the same direction.

Let's add 360 to -312:

-312 + 360 = 48°

Thus, the answer is A.