What is a coterminal angle of I ? 9 п | 4 В E/N 2 D Зп 4
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Hey what’s the answer to this
![### Understanding Coterminal Angles
#### Question:
**What is a coterminal angle of \( \frac{\pi}{4} \)?**
#### Choices:
- **A.** \( \frac{9\pi}{4} \)
- **B.** \( \frac{\pi}{2} \)
- **C.** \( \frac{3\pi}{4} \)
Coterminal angles are angles that share the same initial and terminal sides. They can be found by adding or subtracting \( 2\pi \) from the given angle in radians.
#### Solution:
To determine the coterminal angles of \( \frac{\pi}{4} \):
1. Add \( 2\pi \):
\[
\frac{\pi}{4} + 2\pi = \frac{\pi}{4} + \frac{8\pi}{4} = \frac{9\pi}{4}
\]
2. Subtract \( 2\pi \):
\[
\frac{\pi}{4} - 2\pi = \frac{\pi}{4} - \frac{8\pi}{4} = -\frac{7\pi}{4}
\]
Therefore, from the given options, the coterminal angle of \( \frac{\pi}{4} \) provided is:
**A. \( \frac{9\pi}{4} \)**
Make sure to explore other coterminal angles using similar calculations to reinforce the concept.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59dc451e-d6f8-4dd4-9faf-549af2b24cc3%2Fde7bee7f-f778-4f41-83dc-113bf6ffe621%2Fb1jn03g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Coterminal Angles
#### Question:
**What is a coterminal angle of \( \frac{\pi}{4} \)?**
#### Choices:
- **A.** \( \frac{9\pi}{4} \)
- **B.** \( \frac{\pi}{2} \)
- **C.** \( \frac{3\pi}{4} \)
Coterminal angles are angles that share the same initial and terminal sides. They can be found by adding or subtracting \( 2\pi \) from the given angle in radians.
#### Solution:
To determine the coterminal angles of \( \frac{\pi}{4} \):
1. Add \( 2\pi \):
\[
\frac{\pi}{4} + 2\pi = \frac{\pi}{4} + \frac{8\pi}{4} = \frac{9\pi}{4}
\]
2. Subtract \( 2\pi \):
\[
\frac{\pi}{4} - 2\pi = \frac{\pi}{4} - \frac{8\pi}{4} = -\frac{7\pi}{4}
\]
Therefore, from the given options, the coterminal angle of \( \frac{\pi}{4} \) provided is:
**A. \( \frac{9\pi}{4} \)**
Make sure to explore other coterminal angles using similar calculations to reinforce the concept.
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