2. Use a straightedge to draw the x- and y-axis. Label the numbers -1 and 1 on the y-axis. On the x-axis label the points spaced equally between integer multiples of 5 over the interval [-2 7, 3 ]. Graph the function y = cos x.
2. Use a straightedge to draw the x- and y-axis. Label the numbers -1 and 1 on the y-axis. On the x-axis label the points spaced equally between integer multiples of 5 over the interval [-2 7, 3 ]. Graph the function y = cos x.
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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![### Instructions for Drawing and Labeling a Graph of the Cosine Function
1. **Drawing the Axes:**
- Use a straightedge to draw the x-axis and the y-axis intersecting at the origin (0,0).
2. **Labeling the Axes:**
- **Y-Axis:** Label the numbers -1 and 1 on the y-axis. This will represent the range of the cosine function.
- **X-Axis:** Label the points spaced equally between integer multiples of \( \frac{\pi}{2} \) over the interval \([-2\pi, 3\pi]\).
- Specifically, label the points: \(-2\pi\), \(-\frac{3\pi}{2}\), \(-\pi\), \(-\frac{\pi}{2}\), \(0\), \(\frac{\pi}{2}\), \(\pi\), \(\frac{3\pi}{2}\), \(2\pi\), \(\frac{5\pi}{2}\), and \(3\pi\).
3. **Graphing the Function \( y = \cos x \):**
- Plot the graph of the cosine function \( y = \cos x \) over the given interval \([-2\pi, 3\pi]\).
- **Key Points to Plot:**
- \( (0, 1) \)
- \( (\pm\frac{\pi}{2}, 0) \)
- \( (\pm\pi, -1) \)
- \( (\pm\frac{3\pi}{2}, 0) \)
- \( (\pm2\pi, 1) \)
- Continue this pattern until reaching \(3\pi\).
4. **Connecting the Points:**
- Draw a smooth, continuous curve through these points to represent the cosine wave.
By following these instructions, you will create an accurate graph of the cosine function \( y = \cos x \) over the specified interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F821a1e66-815f-400b-9279-c704b8321e90%2Ff84be098-9684-4d68-a43c-174db5336c2d%2Fldspqco_processed.png&w=3840&q=75)
Transcribed Image Text:### Instructions for Drawing and Labeling a Graph of the Cosine Function
1. **Drawing the Axes:**
- Use a straightedge to draw the x-axis and the y-axis intersecting at the origin (0,0).
2. **Labeling the Axes:**
- **Y-Axis:** Label the numbers -1 and 1 on the y-axis. This will represent the range of the cosine function.
- **X-Axis:** Label the points spaced equally between integer multiples of \( \frac{\pi}{2} \) over the interval \([-2\pi, 3\pi]\).
- Specifically, label the points: \(-2\pi\), \(-\frac{3\pi}{2}\), \(-\pi\), \(-\frac{\pi}{2}\), \(0\), \(\frac{\pi}{2}\), \(\pi\), \(\frac{3\pi}{2}\), \(2\pi\), \(\frac{5\pi}{2}\), and \(3\pi\).
3. **Graphing the Function \( y = \cos x \):**
- Plot the graph of the cosine function \( y = \cos x \) over the given interval \([-2\pi, 3\pi]\).
- **Key Points to Plot:**
- \( (0, 1) \)
- \( (\pm\frac{\pi}{2}, 0) \)
- \( (\pm\pi, -1) \)
- \( (\pm\frac{3\pi}{2}, 0) \)
- \( (\pm2\pi, 1) \)
- Continue this pattern until reaching \(3\pi\).
4. **Connecting the Points:**
- Draw a smooth, continuous curve through these points to represent the cosine wave.
By following these instructions, you will create an accurate graph of the cosine function \( y = \cos x \) over the specified interval.
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