The graph of one complete period of a cosine curve is given. 6. (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude period horizontal shift (b) Write an equation that represents the curve in the form y = a cos(k(x - b)).
The graph of one complete period of a cosine curve is given. 6. (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude period horizontal shift (b) Write an equation that represents the curve in the form y = a cos(k(x - b)).
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
![The graph of one complete period of a cosine curve is given.
**Graph Explanation:**
- The graph is a red cosine wave.
- The x-axis is labeled `x` and the y-axis is labeled `y`.
- The wave peaks at \(\frac{5}{2}\) and troughs at \(-\frac{5}{2}\).
- The x-axis is marked at 0, \(\frac{\pi}{6}\), and \(\frac{\pi}{2}\).
**Questions:**
(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)
- Amplitude: [Text box]
- Period: [Text box]
- Horizontal Shift: [Text box]
(b) Write an equation that represents the curve in the form \( y = a \cos(k(x - b)) \).
- \( y = \) [Text box]
**Need Help?**
- [Read It]
- [Watch It]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6658ba31-d576-43cc-a787-cd40c9f93584%2F69236c13-18e9-4cba-a129-721cf8c92f27%2F5qoway6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The graph of one complete period of a cosine curve is given.
**Graph Explanation:**
- The graph is a red cosine wave.
- The x-axis is labeled `x` and the y-axis is labeled `y`.
- The wave peaks at \(\frac{5}{2}\) and troughs at \(-\frac{5}{2}\).
- The x-axis is marked at 0, \(\frac{\pi}{6}\), and \(\frac{\pi}{2}\).
**Questions:**
(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)
- Amplitude: [Text box]
- Period: [Text box]
- Horizontal Shift: [Text box]
(b) Write an equation that represents the curve in the form \( y = a \cos(k(x - b)) \).
- \( y = \) [Text box]
**Need Help?**
- [Read It]
- [Watch It]
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