1. Express the radian measure in degrees. 2. Express 108° in radian measure. Give your answer in terms 3. Find a positive and negative coterminal angle to 6.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Trigonometry Review

### Questions:

1. **Express the radian measure \(\frac{\pi}{9}\) in degrees.**

2. **Express \(108^\circ\) in radian measure. Give your answer in terms of \(\pi\).**

3. **Find a positive and negative coterminal angle to \(\frac{7\pi}{6}\).**

These problems cover key concepts in trigonometry, such as the conversion between radians and degrees and finding coterminal angles. Let's break down each problem and describe the methods to be used:

1. To convert radians to degrees, use the formula:
   \[
   \text{Degrees} = \text{Radians} \times \frac{180}{\pi}
   \]

2. To convert degrees to radians, use the formula:
   \[
   \text{Radians} = \text{Degrees} \times \frac{\pi}{180}
   \]

3. To find coterminal angles, add or subtract \(2\pi\) (or \(360^\circ\) if working in degrees) to the given angle to find an equivalent angle that lies within the desired range. For positive coterminal angles, add \(2\pi\), and for negative coterminal angles, subtract \(2\pi\).

### Detailed Explanation of Diagrams:

There are no graphs or diagrams provided in this image. The focus is solely on understanding the conversion between radians and degrees and the concept of coterminal angles.

By practicing these problems, students can reinforce their understanding of these crucial trigonometric conversions and relationships.
Transcribed Image Text:## Trigonometry Review ### Questions: 1. **Express the radian measure \(\frac{\pi}{9}\) in degrees.** 2. **Express \(108^\circ\) in radian measure. Give your answer in terms of \(\pi\).** 3. **Find a positive and negative coterminal angle to \(\frac{7\pi}{6}\).** These problems cover key concepts in trigonometry, such as the conversion between radians and degrees and finding coterminal angles. Let's break down each problem and describe the methods to be used: 1. To convert radians to degrees, use the formula: \[ \text{Degrees} = \text{Radians} \times \frac{180}{\pi} \] 2. To convert degrees to radians, use the formula: \[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \] 3. To find coterminal angles, add or subtract \(2\pi\) (or \(360^\circ\) if working in degrees) to the given angle to find an equivalent angle that lies within the desired range. For positive coterminal angles, add \(2\pi\), and for negative coterminal angles, subtract \(2\pi\). ### Detailed Explanation of Diagrams: There are no graphs or diagrams provided in this image. The focus is solely on understanding the conversion between radians and degrees and the concept of coterminal angles. By practicing these problems, students can reinforce their understanding of these crucial trigonometric conversions and relationships.
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