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To solve this problem, we need to find an angle between \(0^\circ\) and \(360^\circ\) that is coterminal with \(-150^\circ\).

### Steps to find the coterminal angle:
1. A coterminal angle is found by adding or subtracting \(360^\circ\) until the angle falls within the desired range (between \(0^\circ\) and \(360^\circ\)).
   
2. Start with the given angle: \(-150^\circ\).

3. Add \(360^\circ\) to \(-150^\circ\):
   \[
   -150^\circ + 360^\circ = 210^\circ
   \]

Therefore, the coterminal angle between \(0^\circ\) and \(360^\circ\) that corresponds to \(-150^\circ\) is **\(210^\circ\)**.

Would you like further details or have any questions?

### Related Questions:
1. What are coterminal angles, and how are they used in trigonometry?
2. How do you determine if two angles are coterminal?
3. How do negative angles relate to positive angles on the unit circle?
4. What is the process of finding multiple coterminal angles for a given angle?
5. Can coterminal angles be used to simplify complex angle calculations in trigonometric functions?

### Tip:
Always remember that adding or subtracting \(360^\circ\) (or \(2\pi\) radians) to any angle gives you a coterminal angle!

Name an angle between 0° and 360° that is coterminal with the following angle: -150°

Learn how to find a coterminal angle between 0° and 360° for the given angle of -150°. This trigonometry problem is suitable for students in Grades 9-11 and covers key concepts such as coterminal angles and their application in trigonometry.

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