000 Match each angle on the left with its corresponding reference angle on the right. Unit Circle (cos, sin 0) 90后 (台) 180⁰, (學号) 150°. (-1,0) 210⁹ () (學) 150° 225 120° 120° 3元 135.4 5元 225°, -√3 (0,1) 唔 5元 4 240.3 (0.-1) 270- 3元 3 30⁰. 300.55 11x 330. 6 7x 3154 (号号) a. 45° b. 60° 30* c (言) (1,0) (3-4) (售) ) 0º,0
000 Match each angle on the left with its corresponding reference angle on the right. Unit Circle (cos, sin 0) 90后 (台) 180⁰, (學号) 150°. (-1,0) 210⁹ () (學) 150° 225 120° 120° 3元 135.4 5元 225°, -√3 (0,1) 唔 5元 4 240.3 (0.-1) 270- 3元 3 30⁰. 300.55 11x 330. 6 7x 3154 (号号) a. 45° b. 60° 30* c (言) (1,0) (3-4) (售) ) 0º,0
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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Question
![**Unit Circle and Angle Reference Matching - Educational Insight**
**Question 3**
**Objective:**
Match each angle on the left with its corresponding reference angle on the right.
**Graph: Unit Circle Representation**
The unit circle graph provided displays various angles measured in degrees as well as their corresponding radians. The points on the circle correspond to \((cos \theta, sin \theta)\) values.
**Unit Circle Coordinates**
- **0°/0 radians:** \( (1, 0) \)
- **30°/ π/6:** \( \left( \frac{\sqrt{3}}{2}, \frac{1}{2} \right) \)
- **45°/ π/4:** \( \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) \)
- **60°/ π/3:** \( \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) \)
- **90°/ π/2:** \( (0, 1) \)
- **120°/ 2π/3:** \( \left( -\frac{1}{2}, \frac{\sqrt{3}}{2} \right) \)
- **135°/ 3π/4:** \( \left( -\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) \)
- **150°/ 5π/6:** \( \left( -\frac{\sqrt{3}}{2}, \frac{1}{2} \right) \)
- **180°/ π:** \( (-1, 0) \)
- **210°/ 7π/6:** \( \left( -\frac{\sqrt{3}}{2}, -\frac{1}{2} \right) \)
- **225°/ 5π/4:** \( \left( -\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right) \)
- **240°/ 4π/3:** \( \left( -\frac{1}{2}, -\frac{\sqrt{3}}{2} \right) \)
- **270°/ 3π/2:** \( (0, -1) \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f131af3-ee4f-4ae5-bc0c-8d8d73b165e9%2F858e4967-9c77-453c-84a1-5ab08547cc26%2Fi7wbw1j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Unit Circle and Angle Reference Matching - Educational Insight**
**Question 3**
**Objective:**
Match each angle on the left with its corresponding reference angle on the right.
**Graph: Unit Circle Representation**
The unit circle graph provided displays various angles measured in degrees as well as their corresponding radians. The points on the circle correspond to \((cos \theta, sin \theta)\) values.
**Unit Circle Coordinates**
- **0°/0 radians:** \( (1, 0) \)
- **30°/ π/6:** \( \left( \frac{\sqrt{3}}{2}, \frac{1}{2} \right) \)
- **45°/ π/4:** \( \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) \)
- **60°/ π/3:** \( \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) \)
- **90°/ π/2:** \( (0, 1) \)
- **120°/ 2π/3:** \( \left( -\frac{1}{2}, \frac{\sqrt{3}}{2} \right) \)
- **135°/ 3π/4:** \( \left( -\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) \)
- **150°/ 5π/6:** \( \left( -\frac{\sqrt{3}}{2}, \frac{1}{2} \right) \)
- **180°/ π:** \( (-1, 0) \)
- **210°/ 7π/6:** \( \left( -\frac{\sqrt{3}}{2}, -\frac{1}{2} \right) \)
- **225°/ 5π/4:** \( \left( -\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right) \)
- **240°/ 4π/3:** \( \left( -\frac{1}{2}, -\frac{\sqrt{3}}{2} \right) \)
- **270°/ 3π/2:** \( (0, -1) \
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