Question

How do you find the amplitude and period of a function #y=sin(3x)#?

How do you find the amplitude and period of a function #y=sin(3x)#?
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Answer #1

The amplitude measures the distance between the peaks of your function. Since the sine of a number is always bounded between #-1# and #1#, and the amplitude is actually half of that distance, the amplitude is #1#.

As for the period, you have that your variable is not #x# but #3x#. This means that, in a sense, the variable runs at three times the speed, and so it takes one third of the normal period, which means #(2pi)/3#.
Otherwise, you can use the formula which states that the period of a function like
#Asin(omegax+phi)# is #(2pi)/\omega#.

answered by: KillerBunny
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