Find the degree measures of the next two positive and the previous two negative angles that are coterminal with the angle 56 degrees




To find the degree measures of angles that are coterminal with a given angle, you can add or subtract multiples of 360° (since a full rotation is 360°).

Given the angle is \( 56^\circ \):

### Next two positive coterminal angles:
1. \( 56^\circ + 360^\circ = 416^\circ \)
2. \( 56^\circ + 720^\circ = 776^\circ \)

### Previous two negative coterminal angles:
1. \( 56^\circ - 360^\circ = -304^\circ \)
2. \( 56^\circ - 720^\circ = -664^\circ \)

So, the next two positive coterminal angles are **416° and 776°**, and the previous two negative coterminal angles are **-304° and -664°**.

Would you like more details on coterminal angles, or do you have any questions?

Here are 5 related questions you might consider:
1. What are coterminal angles, and why are they important in trigonometry?
2. How do coterminal angles relate to the unit circle?
3. What are the coterminal angles of \( -120^\circ \)?
4. How can we find the smallest positive coterminal angle?
5. What happens when we add 180° instead of 360° to an angle?

**Tip:** When dealing with trigonometric functions, always check if an angle is coterminal to simplify your calculations.

Discover how to find coterminal angles with 56 degrees. Explore the next two positive coterminal angles (416° and 776°) and the previous two negative coterminal angles (-304° and -664°) through a step-by-step explanation. Suitable for high school students studying trigonometry.

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