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Find a positive angle less than 360° or 2n that is coterminal with the given angle. 2) -1186° A) 106° B) 74° C) 826° D) 254°

Find a positive angle less than 360° or 2n that is coterminal with the given angle. 2) -1186° A) 106° B) 74° C) 826° D) 254°

Trigonometry (11th Edition)
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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**Problem Statement:** Find a positive angle less than 360° or \(2\pi\) that is coterminal with the given angle. **Example:** 2) \(-1186°\) **Options:** A) \(106°\) B) \(74°\) C) \(826°\) D) \(254°\) **Explanation:** To find a coterminal angle, add or subtract full rotations (360°) until you get a positive angle less than 360°. For \(-1186°\), you can proceed as follows: 1. Add 360° repeatedly: \(-1186° + 360° + 360° + 360° + 360° = 254°\). Therefore, the positive angle less than 360° that is coterminal with \(-1186°\) is **\(254°\)**. **Answer: D) 254°**
Transcribed Image Text:**Problem Statement:** Find a positive angle less than 360° or \(2\pi\) that is coterminal with the given angle. **Example:** 2) \(-1186°\) **Options:** A) \(106°\) B) \(74°\) C) \(826°\) D) \(254°\) **Explanation:** To find a coterminal angle, add or subtract full rotations (360°) until you get a positive angle less than 360°. For \(-1186°\), you can proceed as follows: 1. Add 360° repeatedly: \(-1186° + 360° + 360° + 360° + 360° = 254°\). Therefore, the positive angle less than 360° that is coterminal with \(-1186°\) is **\(254°\)**. **Answer: D) 254°**
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