Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 25E
Related questions
Question
![### Conversion of Angles: Degrees to Radians
**Question**: To convert an angle in degree measure to radian measure, multiply by a factor of \( \frac{180^\circ}{\pi} \).
**Options**:
- True
- False
---
### Explanation:
**Context**: When converting an angle from degrees to radians, it is important to use the correct conversion factor.
**Correct Method**:
The correct factor for converting degrees to radians is \( \frac{\pi}{180^\circ} \).
**Example**:
To convert 45 degrees to radians:
\[
45^\circ \times \frac{\pi}{180^\circ} = \frac{45\pi}{180} = \frac{\pi}{4}
\]
Therefore, the given statement ("To convert an angle in degree measure to radian measure, multiply by a factor of \( \frac{180^\circ}{\pi} \)") is **False**.
### Note:
On the educational page interface, users have a choice to select either “True” or “False” by clicking on the corresponding radio button next to these options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9fc99ab-b3a9-4577-a5d7-bccfea12d417%2F557266bc-086d-4bb6-8520-656eb2f425fa%2Fwkos65q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Conversion of Angles: Degrees to Radians
**Question**: To convert an angle in degree measure to radian measure, multiply by a factor of \( \frac{180^\circ}{\pi} \).
**Options**:
- True
- False
---
### Explanation:
**Context**: When converting an angle from degrees to radians, it is important to use the correct conversion factor.
**Correct Method**:
The correct factor for converting degrees to radians is \( \frac{\pi}{180^\circ} \).
**Example**:
To convert 45 degrees to radians:
\[
45^\circ \times \frac{\pi}{180^\circ} = \frac{45\pi}{180} = \frac{\pi}{4}
\]
Therefore, the given statement ("To convert an angle in degree measure to radian measure, multiply by a factor of \( \frac{180^\circ}{\pi} \)") is **False**.
### Note:
On the educational page interface, users have a choice to select either “True” or “False” by clicking on the corresponding radio button next to these options.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning