### Educational Resource on Coterminal Angles#### Understanding Coterminal Angles**Task:** Name an angle between 0° and 360° that is coterminal with the following angle: -135°.To find an angle coterminal with -135°, we need to add or subtract 360° (a full rotation) until we obtain an angle between 0° and 360°.\[ \text{Coterminal Angle} = -135° + 360° = 225° \]Thus, the angle 225° is coterminal with -135°.#### Diagram ExplanationBelow is a unit circle diagram used to visualize angles:- The diagram is a circle centered at the origin (0,0) with a radius of 1.- The positive x-axis represents 0°.- Angles increase in a counterclockwise direction.- The positive y-axis represents 90°.- The negative x-axis represents 180°.- The negative y-axis represents 270°.- Each quarter of the circle is divided into 30° increments.- Points are marked at 30°, 45°, 60°, 90°, 120°, 135°, 150°, and 180°, continuing around the circle up to 360°.### Summary- An angle coterminal with -135° that lies within 0° to 360° is 225°.- The unit circle helps visualize angles and their coterminal equivalents.This information is useful in trigonometry and other mathematical applications involving periodic phenomena.

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Name an angle between 0° and 360° that is coterminal with the following angle. -135°

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.6: The Law Of Cosines

Problem 52E: CN Tower The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A...

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Question

### Educational Resource on Coterminal Angles

#### Understanding Coterminal Angles

**Task:** Name an angle between 0° and 360° that is coterminal with the following angle: -135°.

To find an angle coterminal with -135°, we need to add or subtract 360° (a full rotation) until we obtain an angle between 0° and 360°.

\[ \text{Coterminal Angle} = -135° + 360° = 225° \]

Thus, the angle 225° is coterminal with -135°.

#### Diagram Explanation

Below is a unit circle diagram used to visualize angles:

- The diagram is a circle centered at the origin (0,0) with a radius of 1.
- The positive x-axis represents 0°.
- Angles increase in a counterclockwise direction.
- The positive y-axis represents 90°.
- The negative x-axis represents 180°.
- The negative y-axis represents 270°.
- Each quarter of the circle is divided into 30° increments.
- Points are marked at 30°, 45°, 60°, 90°, 120°, 135°, 150°, and 180°, continuing around the circle up to 360°.

### Summary
- An angle coterminal with -135° that lies within 0° to 360° is 225°.
- The unit circle helps visualize angles and their coterminal equivalents.

This information is useful in trigonometry and other mathematical applications involving periodic phenomena.

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