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Evaluate cos(0) when 0 %3D

Evaluate cos(0) when 0 %3D

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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### Trigonometry Problem **Question:** Evaluate \( \cos(\theta) \) when \( \theta = \frac{3\pi}{2} \). **Options:** - \( -1 \) - \( -\frac{\sqrt{2}}{2} \) - \( -\frac{1}{2} \) - \( 0 \) **User Navigation:** The question is part of a series seen at the bottom of the page. The current question is highlighted as number 13 within the sequence, and users can navigate to other questions using the numbered boxes. The "Next" button on the right allows users to proceed to the following question. The sidebar on the right includes various tools and options for user interaction. ### Explanation: In order to solve for \( \cos(\theta) \) when \( \theta = \frac{3\pi}{2} \), refer to the unit circle where \( \theta = \frac{3\pi}{2} \) corresponds to the angle pointing downwards along the negative y-axis. At this position, the x-coordinate, which represents the cosine value, is 0. Thus, the correct answer is: - \( 0 \)
Transcribed Image Text:### Trigonometry Problem **Question:** Evaluate \( \cos(\theta) \) when \( \theta = \frac{3\pi}{2} \). **Options:** - \( -1 \) - \( -\frac{\sqrt{2}}{2} \) - \( -\frac{1}{2} \) - \( 0 \) **User Navigation:** The question is part of a series seen at the bottom of the page. The current question is highlighted as number 13 within the sequence, and users can navigate to other questions using the numbered boxes. The "Next" button on the right allows users to proceed to the following question. The sidebar on the right includes various tools and options for user interaction. ### Explanation: In order to solve for \( \cos(\theta) \) when \( \theta = \frac{3\pi}{2} \), refer to the unit circle where \( \theta = \frac{3\pi}{2} \) corresponds to the angle pointing downwards along the negative y-axis. At this position, the x-coordinate, which represents the cosine value, is 0. Thus, the correct answer is: - \( 0 \)
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