2. Convert 565° to exact radian measure. 2. 4. Convert - 280° to exact radian measure.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48d9bd7f-73f1-43d3-ab6b-78b35e559c7c%2Ff6fca155-5d66-49ae-ac5d-bea54fe7a41a%2F9u7ab3_processed.jpeg&w=3840&q=75)
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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