What is the period t of the function y=3sin(4t)?

What is the period T of the function y=3sin(4x)?

Answer

y=3sin(4x) sompare with
y= A sin wx w= 4
or, 2pi/T=4
    T= pi/2    s
       =1.57 s

We know that the period of y=sinx is pi So period of y=sin(4x) is pi/4 Period of y=3sin(4x) is (pi/4)/3 =pi/12

So T=pi/12

a period is when one cycle is completed.
So, if you set y=0 and solve the the x-values.
The different between two immediate x-values is the period.

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