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Write an equation of the form ya sinbx or y=a cosbx to describe the graph below. VAA 2π 4 3. 3. 4 $3 1 y = sin X 4 2 8 3 10π B 3 0=0 47 010 sin 0/0 cos

Write an equation of the form ya sinbx or y=a cosbx to describe the graph below. VAA 2π 4 3. 3. 4 $3 1 y = sin X 4 2 8 3 10π B 3 0=0 47 010 sin 0/0 cos

Trigonometry (11th Edition)
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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Is this correct? Please check your B value. I wasn’t sure how to calculate it bc it didn’t end at 4pi.
**Transcription and Explanation for Educational Use** --- **Text:** Write an equation of the form \( y = a \sin b x \) or \( y = a \cos b x \) to describe the graph below. **Graph Description:** The displayed graph is a sinusoidal wave with labeled points along the x-axis and y-axis. The x-axis is marked with intervals of \( \frac{2\pi}{3}, \frac{4\pi}{3}, 2\pi, \frac{8\pi}{3}, \frac{10\pi}{3}\), indicating the periodic nature of the function. The y-axis ranges from -1 to 1, suggesting an amplitude of 1. Visible features of the graph: - The wave begins at zero, dips to approximately -1 at \( \frac{2\pi}{3} \), peaks at approximately 1 at \( 2\pi \), and continues this pattern consistently. - The period of the function, where the wave repeats, appears to be \( 4\pi \). **Equation Box:** \( y = \frac{3}{4} \sin \left(\frac{1}{2} x\right) \) **Checkboxes and Symbols:** Below the equation, there are several checkboxes with symbols, possibly part of an interactive exercise: - Squares to be checked or unchecked. - A symbol for \( \pi \). - Symbols for \(\sin\) and \(\cos\). - A square root symbol. These elements suggest options for modifying or confirming the given sinusoidal function or selecting attributes related to \( \pi \), trigonometric functions, or square roots. --- This transcription provides context for understanding sinusoidal graphs and how to write equations based on their properties.
Transcribed Image Text:**Transcription and Explanation for Educational Use** --- **Text:** Write an equation of the form \( y = a \sin b x \) or \( y = a \cos b x \) to describe the graph below. **Graph Description:** The displayed graph is a sinusoidal wave with labeled points along the x-axis and y-axis. The x-axis is marked with intervals of \( \frac{2\pi}{3}, \frac{4\pi}{3}, 2\pi, \frac{8\pi}{3}, \frac{10\pi}{3}\), indicating the periodic nature of the function. The y-axis ranges from -1 to 1, suggesting an amplitude of 1. Visible features of the graph: - The wave begins at zero, dips to approximately -1 at \( \frac{2\pi}{3} \), peaks at approximately 1 at \( 2\pi \), and continues this pattern consistently. - The period of the function, where the wave repeats, appears to be \( 4\pi \). **Equation Box:** \( y = \frac{3}{4} \sin \left(\frac{1}{2} x\right) \) **Checkboxes and Symbols:** Below the equation, there are several checkboxes with symbols, possibly part of an interactive exercise: - Squares to be checked or unchecked. - A symbol for \( \pi \). - Symbols for \(\sin\) and \(\cos\). - A square root symbol. These elements suggest options for modifying or confirming the given sinusoidal function or selecting attributes related to \( \pi \), trigonometric functions, or square roots. --- This transcription provides context for understanding sinusoidal graphs and how to write equations based on their properties.
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