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Write an equation of the form y=a sinbx or y =a cosbx to describe the graph below. 3+ 国 Osino OcosO O=0 1- -2-

Write an equation of the form y=a sinbx or y =a cosbx to describe the graph below. 3+ 国 Osino OcosO O=0 1- -2-

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
**Title: Understanding Trigonometric Graphs** **Instructions:** Write an equation of the form \( y = a \sin b x \) or \( y = a \cos b x \) to describe the graph below. **Graph Explanation:** - The graph shows a trigonometric wave, specifically a sine or cosine function. - The x-axis is labeled with multiples of \(\frac{\pi}{3}\), ranging from \(-\frac{4\pi}{3}\) to \(4\pi\). - The y-axis ranges from -4 to 4, highlighting the amplitude of the wave. - The wave peaks at approximately 4 and troughs at approximately -4, suggesting an amplitude of 4. - The wave completes a cycle every \(2\pi\), indicating a period consistent with standard sine and cosine waves. **Equation Box:** - Enter the equation in the provided box using the given math symbols: \(\pi\), \(\sin\), \(\cos\), and an equals sign. **Note:** Adjust the values of \(a\) and \(b\) in the sine or cosine function to match the amplitude and period observed in the graph.
Transcribed Image Text:**Title: Understanding Trigonometric Graphs** **Instructions:** Write an equation of the form \( y = a \sin b x \) or \( y = a \cos b x \) to describe the graph below. **Graph Explanation:** - The graph shows a trigonometric wave, specifically a sine or cosine function. - The x-axis is labeled with multiples of \(\frac{\pi}{3}\), ranging from \(-\frac{4\pi}{3}\) to \(4\pi\). - The y-axis ranges from -4 to 4, highlighting the amplitude of the wave. - The wave peaks at approximately 4 and troughs at approximately -4, suggesting an amplitude of 4. - The wave completes a cycle every \(2\pi\), indicating a period consistent with standard sine and cosine waves. **Equation Box:** - Enter the equation in the provided box using the given math symbols: \(\pi\), \(\sin\), \(\cos\), and an equals sign. **Note:** Adjust the values of \(a\) and \(b\) in the sine or cosine function to match the amplitude and period observed in the graph.
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