For the angle below, convert to radian measure using exact values and then name the reference angle in both degrees and radians. 0 = 240° Converted to radians: 4/3pi Preview Reference angle in degrees: [120 Reference angle in radians: -4/3pi Preview
For the angle below, convert to radian measure using exact values and then name the reference angle in both degrees and radians. 0 = 240° Converted to radians: 4/3pi Preview Reference angle in degrees: [120 Reference angle in radians: -4/3pi Preview
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
![For the angle below, convert to radian measure using exact values and then name the reference angle in both degrees and radians.
\[ \theta = 240^\circ \]
- **Converted to radians:** \( \frac{4\pi}{3} \) ✔️
- **Reference angle in degrees:** \( 120^\circ \) ❌
- **Reference angle in radians:** \( -\frac{4\pi}{3} \) ❌
**Explanation:**
The conversion from degrees to radians is correct. However, the reference angles provided in degrees and radians are incorrect. For an angle of \(240^\circ\):
- The correct reference angle in degrees is \(60^\circ\).
- The reference angle in radians should be \(\frac{\pi}{3}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42bd253a-231b-4c16-baac-6c405dc75416%2F4a245798-b385-4a5f-9279-a497bd16ccaa%2Fytzhpxbm_processed.png&w=3840&q=75)
Transcribed Image Text:For the angle below, convert to radian measure using exact values and then name the reference angle in both degrees and radians.
\[ \theta = 240^\circ \]
- **Converted to radians:** \( \frac{4\pi}{3} \) ✔️
- **Reference angle in degrees:** \( 120^\circ \) ❌
- **Reference angle in radians:** \( -\frac{4\pi}{3} \) ❌
**Explanation:**
The conversion from degrees to radians is correct. However, the reference angles provided in degrees and radians are incorrect. For an angle of \(240^\circ\):
- The correct reference angle in degrees is \(60^\circ\).
- The reference angle in radians should be \(\frac{\pi}{3}\).
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