Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Concept explainers

Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
### 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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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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