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Find an angle between 0° and 360° that is coterminal with –330°.

a. (a) 30°
b. (a) 30°
c. (a) 330°
d. (a) 330°

1 Answer

6 votes

The coterminal angle with -330° between 0° and 360° is 30°. Thus, the correct option is (a) 30°.

To find a coterminal angle with -330° within the range of 0° to 360°, add 360° to -330°.

The result is 30°, making 30° coterminal with -330°.

Coterminal angles share the same initial and terminal sides, differing only in the number of complete revolutions made around the unit circle.

In this case, adding one complete revolution (or 360° to -330° brings us within the specified range.

Thus, the coterminal angle for -330° between 0° and 360° is 30°, aligning with option (a) in the provided choices.

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