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

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) (Show Source): You can put this solution on YOUR website!
write an equation of the sin/cos function that satisfies the given conditions. Amplitude=3
Period= 2pi/3
shifted pi/3 units right
***
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)
RELATED QUESTIONS
Write an equation of a sine function with the given amplitude=3 period=2pi/3 and phase... (answered by stanbon)

write an equation of the sine function with the given amplitude, period, phase shift,... (answered by lwsshak3)

Given the function y = 3 sin 2pi x. a. Find the amplitude. b. Find the... (answered by jim_thompson5910)

Write the equation of a sine function that has given characteristics:... (answered by jim_thompson5910)

Let Z1=8(cos 2pi/3 + i sin 2pi/3) and Z2= 0.5(cos pi/3 + i sin pi/3) Write the... (answered by robertb)

Write an equation for a sine curve that has the given amplitude, period, and phase shift. (answered by lwsshak3)

y=2sin(x-pi/2)find the amplitude, phas shift, and period for the graph of each function. (answered by lwsshak3)

Please help me solve this question, write an equation of the sine function Amplitude: 2 (answered by Alan3354)

Write an equation that satisfies the given conditions:... (answered by stanbon,Edwin McCravy,robertb)