Coterminal angles are angles that differ by a multiple of \(360^\circ\), meaning you can find coterminal angles of any given angle by adding or subtracting multiples of \(360^\circ\).

For \(270^\circ\), the general formula for finding coterminal angles is:

\[
\theta_{\text{coterminal}} = 270^\circ + 360^\circ \times k
\]

where \(k\) is any integer (positive, negative, or zero).

### Some examples:
1. \(270^\circ + 360^\circ = 630^\circ\)
2. \(270^\circ - 360^\circ = -90^\circ\)
3. \(270^\circ + 2 \times 360^\circ = 990^\circ\)
4. \(270^\circ - 2 \times 360^\circ = -450^\circ\)
5. \(270^\circ + 3 \times 360^\circ = 1350^\circ\)

These angles are coterminal with \(270^\circ\) because their terminal sides coincide on the unit circle.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you find coterminal angles in radians?
2. What are the coterminal angles of \(90^\circ\)?
3. Can coterminal angles be negative?
4. How can coterminal angles be useful in trigonometric functions?
5. What is the smallest positive coterminal angle for \(270^\circ\)?

**Tip:** When dealing with trigonometric functions, coterminal angles always yield the same sine, cosine, and tangent values.

Learn how to find coterminal angles of 270 degrees using the formula θ_coterminal = 270° + 360° × k. This problem explores trigonometric concepts such as angles and coterminal angles, providing examples and key explanations. Suitable for students in Grades 9-11.

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