The function graphed is of the form y = a sin bx or y = a cos bx, where b>0. Determine the equation of the graph. C MAN -6- X 2n
The function graphed is of the form y = a sin bx or y = a cos bx, where b>0. Determine the equation of the graph. C MAN -6- X 2n
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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![**Problem Statement:**
The function graphed is of the form \( y = a \sin bx \) or \( y = a \cos bx \), where \( b > 0 \). Determine the equation of the graph.
**Graph Description:**
- The graph is a sinusoidal wave, oscillating between -6 and 6 on the \( y \)-axis.
- It completes a full cycle between \( 0 \) and \( 2\pi \) on the \( x \)-axis.
- The amplitude of the wave is 6, as it peaks at 6 and troughs at -6.
- The wave crosses the \( x \)-axis at regular intervals, beginning from the origin.
**Task:**
\[ y = \boxed{\phantom{x}} \]
(Type an expression using \( x \) as the variable.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde686ef5-033a-45f4-bd25-d59cf7ce0821%2F67e110c9-3cb0-4fc9-8f70-a5488f19c8a2%2Fqelcamo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The function graphed is of the form \( y = a \sin bx \) or \( y = a \cos bx \), where \( b > 0 \). Determine the equation of the graph.
**Graph Description:**
- The graph is a sinusoidal wave, oscillating between -6 and 6 on the \( y \)-axis.
- It completes a full cycle between \( 0 \) and \( 2\pi \) on the \( x \)-axis.
- The amplitude of the wave is 6, as it peaks at 6 and troughs at -6.
- The wave crosses the \( x \)-axis at regular intervals, beginning from the origin.
**Task:**
\[ y = \boxed{\phantom{x}} \]
(Type an expression using \( x \) as the variable.)
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