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°.
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 \(\frac{\pi}{3}\).
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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