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To find a positive coterminal angle for \(-90^\circ\), we can add \(360^\circ\) to it. Coterminal angles differ by full rotations of \(360^\circ\), so:

\[
-90^\circ + 360^\circ = 270^\circ
\]

Thus, the positive coterminal angle less than \(360^\circ\) for \(-90^\circ\) is \(270^\circ\).

Do you need more details or have any questions?

Here are 5 related questions for further exploration:
1. How do you find a negative coterminal angle for \(90^\circ\)?
2. What is the coterminal angle of \(450^\circ\) within \(0^\circ\) to \(360^\circ\)?
3. What are the steps to find coterminal angles in radians?
4. Can two angles have more than one coterminal angle?
5. How would you find a coterminal angle for a decimal angle like \(135.5^\circ\)?

**Tip:** To find coterminal angles, add or subtract multiples of \(360^\circ\) (or \(2\pi\) in radians) until you reach the desired range.

Find a positive angle less than 360° that is coterminal with -90°.

Learn how to find a positive coterminal angle less than 360° for -90°. This trigonometry problem helps students understand how coterminal angles work by adding or subtracting multiples of 360°. Suitable for students in Grades 9-12.

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