**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°

here the given angle is negative so to find the coterminal angle, we need to add a multiple of 360…

Answered: Find a positive angle less than 360° or…

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°

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 1E

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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°

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