SOLUTION: write an equation of the sin/cos function that satisfies the given conditions. Amplitude=3 Period= 2pi/3 shifted pi/3 units right

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Question 812326: write an equation of the sin/cos function that satisfies the given conditions. Amplitude=3
Period= 2pi/3
shifted pi/3 units right

Answer by lwsshak3(11628) About Me  (Show Source):
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write an equation of the sin/cos function that satisfies the given conditions. Amplitude=3
Period= 2pi/3
shifted pi/3 units right
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y=Asin(Bx-C), A=amplitude, period=2π/B, Phase shift=C/B
For given problem:
A=3
Period=2π/B=2π/3
B=3
Phase shift=π/3=C/B (to the right)
C=π
Equation for sin function:
y=3sin(3x-π)
..
y=Acos(Bx-C), A=amplitude, period=2π/B, Phase shift=C/B
For given problem:
A=3
Period=2π/B=2π/3
B=3
Phase shift=π/3=C/B (to the right)
C=π
Equation for cos function:
y=3cos(3x-π)