Find a positive angle less than 360° or 2n that is coterminal with the given angle. - 1,225° O A. 215° O B. 145° OC. 865° OP. 35°
Find a positive angle less than 360° or 2n that is coterminal with the given angle. - 1,225° O A. 215° O B. 145° OC. 865° OP. 35°
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
![**Finding Coterminal Angles**
**Problem Statement:**
Find a positive angle less than 360° or 2π that is coterminal with the given angle.
**Given Angle:**
-1,225°
**Options:**
- A. 215°
- B. 145°
- C. 865°
- D. 35°
To find a positive coterminal angle, you add or subtract 360° (or 2π radians) until you obtain an equivalent positive angle within the range of [0, 360°).
For the given example, -1,225°:
1. Add 360° repeatedly to -1,225° until the result is between 0 and 360°:
\[
-1225° + 360° = -865°
\]
\[
-865° + 360° = -505°
\]
\[
-505° + 360° = -145°
\]
\[
-145° + 360° = 215°
\]
Therefore, the coterminal angle for -1,225° is 215°, which is positive and less than 360°.
**Correct Answer:**
A. 215°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad727bdc-baba-4947-a2e3-e934fc451c32%2Fc9d88815-d9e7-4f50-9862-b2b327fbf8bf%2Ftez715q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Finding Coterminal Angles**
**Problem Statement:**
Find a positive angle less than 360° or 2π that is coterminal with the given angle.
**Given Angle:**
-1,225°
**Options:**
- A. 215°
- B. 145°
- C. 865°
- D. 35°
To find a positive coterminal angle, you add or subtract 360° (or 2π radians) until you obtain an equivalent positive angle within the range of [0, 360°).
For the given example, -1,225°:
1. Add 360° repeatedly to -1,225° until the result is between 0 and 360°:
\[
-1225° + 360° = -865°
\]
\[
-865° + 360° = -505°
\]
\[
-505° + 360° = -145°
\]
\[
-145° + 360° = 215°
\]
Therefore, the coterminal angle for -1,225° is 215°, which is positive and less than 360°.
**Correct Answer:**
A. 215°
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