SOLUTION: Write the equation of a sine function that has given characteristics: Amplitude: 4 Period: 3

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Question 169157: Write the equation of a sine function that has given characteristics: Amplitude: 4 Period: 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, sine can be written as y=a%2Asin%28bx%29 where abs%28a%29 is the amplitude and "b" can be used to find the period. In other words, Period=2pi%2Fb.


Since the amplitude is 4, this simply means that a=4


Since the period is 3, this tells us that 3=2pi%2Fb ---> 3b=2pi ----> b=2pi%2F3


So the sine function is y=4%2Asin%28%282pi%2F3%29x%29