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Match each angle on the left with its corresponding reference angle on the right. Unit Circle (cos, sin ) 90⁰./2 (22) (-) (-1,0) 180°, 3 n 7% 16 6 811 3 120° 3r 135⁰.4 5x 150⁰-6 7r 6 225°, (2) 210.7 5 (0,1) 2r 3 4 4x 240⁰,- 3 (0,-1) K|3 3x 270⁰-2 60°. 45°, 300⁰, 3 2' 2 315%, 5 a. HA 330°, 7x 4 b. C. 30°. K6 (24) (+9) (1,0) (+) 11x 6 (-12-2²) E|- -√3 2' 2 TE 6 0º,0

Match each angle on the left with its corresponding reference angle on the right. Unit Circle (cos, sin ) 90⁰./2 (22) (-) (-1,0) 180°, 3 n 7% 16 6 811 3 120° 3r 135⁰.4 5x 150⁰-6 7r 6 225°, (2) 210.7 5 (0,1) 2r 3 4 4x 240⁰,- 3 (0,-1) K|3 3x 270⁰-2 60°. 45°, 300⁰, 3 2' 2 315%, 5 a. HA 330°, 7x 4 b. C. 30°. K6 (24) (+9) (1,0) (+) 11x 6 (-12-2²) E|- -√3 2' 2 TE 6 0º,0

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Title: Understanding Angles on the Unit Circle** **Introduction:** In trigonometry, the unit circle is a fundamental concept used to understand the properties of trigonometric functions. This exercise helps to match each angle on the left with its corresponding reference angle on the right. **Unit Circle Overview:** The unit circle is a circle with a radius of one centered at the origin of the coordinate plane. Points on the unit circle correspond to angles, and each point \( (x, y) \) on the unit circle relates to cosine and sine values \(( \cos(\theta), \sin(\theta) )\), where: - \( x = \cos(\theta) \) - \( y = \sin(\theta) \) Below is a depiction of the unit circle showing key angles in both degrees and radians, along with their corresponding \(( \cos(\theta), \sin(\theta) )\) values. **Detailed Explanation:** - **Top Quadrant (First Quadrant):** - \(0^\circ\) or \(0\): \( (1, 0) \) - \(30^\circ\) or \( \frac{\pi}{6} \): \( \left( \frac{\sqrt{3}}{2}, \frac{1}{2} \right) \) - \(45^\circ\) or \( \frac{\pi}{4} \): \( \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) \) - \(60^\circ\) or \( \frac{\pi}{3} \): \( \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) \) - \(90^\circ\) or \( \frac{\pi}{2} \): \( (0, 1) \) - **Left Quadrant (Second Quadrant):** - \(120^\circ\) or \( \frac{2\pi}{3} \): \( \left( -\frac{1}{2}, \frac{\sqrt{3}}{2} \right) \) - \(135^\circ\) or \( \frac{3\pi}{4} \): \( \left( -\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \
Transcribed Image Text:**Title: Understanding Angles on the Unit Circle** **Introduction:** In trigonometry, the unit circle is a fundamental concept used to understand the properties of trigonometric functions. This exercise helps to match each angle on the left with its corresponding reference angle on the right. **Unit Circle Overview:** The unit circle is a circle with a radius of one centered at the origin of the coordinate plane. Points on the unit circle correspond to angles, and each point \( (x, y) \) on the unit circle relates to cosine and sine values \(( \cos(\theta), \sin(\theta) )\), where: - \( x = \cos(\theta) \) - \( y = \sin(\theta) \) Below is a depiction of the unit circle showing key angles in both degrees and radians, along with their corresponding \(( \cos(\theta), \sin(\theta) )\) values. **Detailed Explanation:** - **Top Quadrant (First Quadrant):** - \(0^\circ\) or \(0\): \( (1, 0) \) - \(30^\circ\) or \( \frac{\pi}{6} \): \( \left( \frac{\sqrt{3}}{2}, \frac{1}{2} \right) \) - \(45^\circ\) or \( \frac{\pi}{4} \): \( \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) \) - \(60^\circ\) or \( \frac{\pi}{3} \): \( \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) \) - \(90^\circ\) or \( \frac{\pi}{2} \): \( (0, 1) \) - **Left Quadrant (Second Quadrant):** - \(120^\circ\) or \( \frac{2\pi}{3} \): \( \left( -\frac{1}{2}, \frac{\sqrt{3}}{2} \right) \) - \(135^\circ\) or \( \frac{3\pi}{4} \): \( \left( -\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \
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