(b) Convert 而。 5π ▬▬ 2 radians to degree 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°.
Related questions
Question
![**Problem: Convert Radians to Degrees**
(b) Convert \(-\frac{5\pi}{2}\) radians to degree measure.
**Solution:**
To convert radians to degrees, use the formula:
\[ \text{Degrees} = \text{Radians} \times \frac{180}{\pi} \]
Start with \(-\frac{5\pi}{2}\):
1. Multiply by \(\frac{180}{\pi}\):
\[
-\frac{5\pi}{2} \times \frac{180}{\pi} = -\frac{5 \times 180}{2}
\]
2. Calculate:
\[
= -\frac{900}{2} = -450
\]
Therefore, \(-\frac{5\pi}{2}\) radians is equal to \(-450^\circ\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01a3e116-2316-49e5-843e-67526366cfac%2F5fc94d48-fa2e-49c0-b319-1ca1091d2c88%2Ftnu6pod_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Convert Radians to Degrees**
(b) Convert \(-\frac{5\pi}{2}\) radians to degree measure.
**Solution:**
To convert radians to degrees, use the formula:
\[ \text{Degrees} = \text{Radians} \times \frac{180}{\pi} \]
Start with \(-\frac{5\pi}{2}\):
1. Multiply by \(\frac{180}{\pi}\):
\[
-\frac{5\pi}{2} \times \frac{180}{\pi} = -\frac{5 \times 180}{2}
\]
2. Calculate:
\[
= -\frac{900}{2} = -450
\]
Therefore, \(-\frac{5\pi}{2}\) radians is equal to \(-450^\circ\).
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