2. Convert 565° to exact radian measure. 2. 4. Convert - 280° to exact radian measure.

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°.
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### Trigonometry: Degrees to Radians Conversion

#### 2. Convert \( 565^\circ \) to exact radian measure.

---

\[ 2.\_\_\_\_\_\_\_\_\_\_\_ \]

---

#### 4. Convert \( -280^\circ \) to exact radian measure.

---

### Explanation:

To convert degrees to radians, use the conversion factor \( \frac{\pi \text{ radians}}{180^\circ} \).

1. For \( 565^\circ \):
   \[
   565^\circ \times \frac{\pi}{180^\circ}
   \]

2. For \( -280^\circ \):
   \[
   -280^\circ \times \frac{\pi}{180^\circ}
   \]

Complete these calculations to find the exact radian measures.
Transcribed Image Text:### Trigonometry: Degrees to Radians Conversion #### 2. Convert \( 565^\circ \) to exact radian measure. --- \[ 2.\_\_\_\_\_\_\_\_\_\_\_ \] --- #### 4. Convert \( -280^\circ \) to exact radian measure. --- ### Explanation: To convert degrees to radians, use the conversion factor \( \frac{\pi \text{ radians}}{180^\circ} \). 1. For \( 565^\circ \): \[ 565^\circ \times \frac{\pi}{180^\circ} \] 2. For \( -280^\circ \): \[ -280^\circ \times \frac{\pi}{180^\circ} \] Complete these calculations to find the exact radian measures.
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