In Example 1, find another angle that is coterminal with the given angle.

Data from Example 1

Determine the measures of two angles that are coterminal with an angle of 145.6°.

Because there are 360° in one complete rotation, we can find a coterminal angle by adding 360° to the given angle of 145.6° to get 505.6°. Another coterminal angle can be found by subtracting 360° from 145.6° to get −214.4°. See the angles in Fig. 4.3. We could continue to add 360°, or subtract 360°, as many times as needed to get as many additional coterminal angles as may be required.

- 214.4 505.6 145.6 Fig. 4.3