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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°.
Related questions
Question
Help is appreciated
![### Graph the Trigonometric Function
**Function to Graph:**
\[ y = \frac{1}{2} \cos \left( x + \frac{\pi}{2} \right) \]
**Instructions:**
1. Plot all points corresponding to x-intercepts, minima, and maxima within one cycle.
2. Click on the graph-a-function button to complete the graph.
**Graph Description:**
The graph area is a coordinate system with \( x \)-axis and \( y \)-axis labeled. The grid is divided into smaller squares for precise plotting. The \( x \)-axis ranges from \(-6\) to \(6\) and the \( y \)-axis ranges from \(-3\) to \(3\).
**Toolbox:**
- Icons are visible for using tools like an eraser, pencil, and others necessary for graph construction.
- Options to erase points, reset the graph, and access help or further instructions are indicated by corresponding symbols.
**Submission:**
Once all points are plotted accurately, click on the **Submit** button to complete your task or select **I Don't Know** if uncertain.
**Note:**
- Ensure all critical points of the cosine function are plotted correctly, considering any shifts or transformations specified by the equation.
- Understand the transformations from the base cosine function due to the additional \(\frac{\pi}{2}\) phase shift and the \(\frac{1}{2}\) amplitude adjustment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48223f7c-9601-4bef-a109-141dadd72801%2F9379bb48-d916-4b5d-a09c-e7fd440515b2%2Fr7x5xy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Graph the Trigonometric Function
**Function to Graph:**
\[ y = \frac{1}{2} \cos \left( x + \frac{\pi}{2} \right) \]
**Instructions:**
1. Plot all points corresponding to x-intercepts, minima, and maxima within one cycle.
2. Click on the graph-a-function button to complete the graph.
**Graph Description:**
The graph area is a coordinate system with \( x \)-axis and \( y \)-axis labeled. The grid is divided into smaller squares for precise plotting. The \( x \)-axis ranges from \(-6\) to \(6\) and the \( y \)-axis ranges from \(-3\) to \(3\).
**Toolbox:**
- Icons are visible for using tools like an eraser, pencil, and others necessary for graph construction.
- Options to erase points, reset the graph, and access help or further instructions are indicated by corresponding symbols.
**Submission:**
Once all points are plotted accurately, click on the **Submit** button to complete your task or select **I Don't Know** if uncertain.
**Note:**
- Ensure all critical points of the cosine function are plotted correctly, considering any shifts or transformations specified by the equation.
- Understand the transformations from the base cosine function due to the additional \(\frac{\pi}{2}\) phase shift and the \(\frac{1}{2}\) amplitude adjustment.
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