SOLUTION: A wave is modeled with the function y = 2/3 sin 3Θ, where Θ is in radians. Describe the graph of this function, including its period, amplitude.
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Question 880316: A wave is modeled with the function y = 2/3 sin 3Θ, where Θ is in radians. Describe the graph of this function, including its period, amplitude.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A wave is modeled with the function y = 2/3 sin 3Θ, where Θ is in radians. Describe the graph of this function, including its period, amplitude.
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use x for Θ
Given equation takes the standard form: y=Asin(Bx-C), A=amplitude, Period=2π/B, C/B=phase shift
For given equation:y=(2/3)sin3x
Amplitude=2/3
B=3
Period=2π/B=2π/3≈2.09 radians
C=0
Phase shift:C/B=0
see graph below as a visual check on the sin curve described above:
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