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(2, y) a = 60° Bシ170° (x, –1)

(2, y) a = 60° Bシ170° (x, –1)

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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Find the missing coordinate.

The image depicts a two-dimensional Cartesian coordinate system with two points and angles marked within. Here's a detailed transcription: 1. **Coordinate Plane**: - The diagram shows a standard Cartesian coordinate system with x-axis and y-axis intersecting at the origin (0, 0). 2. **Points**: - There are two labeled points: - Point \( (x, -1) \) is located in the third quadrant. - Point \( (2, y) \) is located in the first quadrant. 3. **Vectors and Angles**: - Two vectors emanate from the origin, connecting to the two points. - There is an angle \(\alpha = 60^\circ\) in green, formed between the positive x-axis and the vector leading to \( (2, y) \). - There is also an angle \(\beta = 170^\circ\) in red, formed between the negative x-axis and the vector leading to \( (x, -1) \). This diagram illustrates the use of angles in determining the direction of vectors in a coordinate plane. Understanding these concepts is crucial in fields such as physics, engineering, and computer graphics.
Transcribed Image Text:The image depicts a two-dimensional Cartesian coordinate system with two points and angles marked within. Here's a detailed transcription: 1. **Coordinate Plane**: - The diagram shows a standard Cartesian coordinate system with x-axis and y-axis intersecting at the origin (0, 0). 2. **Points**: - There are two labeled points: - Point \( (x, -1) \) is located in the third quadrant. - Point \( (2, y) \) is located in the first quadrant. 3. **Vectors and Angles**: - Two vectors emanate from the origin, connecting to the two points. - There is an angle \(\alpha = 60^\circ\) in green, formed between the positive x-axis and the vector leading to \( (2, y) \). - There is also an angle \(\beta = 170^\circ\) in red, formed between the negative x-axis and the vector leading to \( (x, -1) \). This diagram illustrates the use of angles in determining the direction of vectors in a coordinate plane. Understanding these concepts is crucial in fields such as physics, engineering, and computer graphics.
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