HELP FAST PLEASE!!!!! What set describes the zeros of the function f(x) = 6(pi)sin(4x)?

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HELP FAST PLEASE!!!!!

What set describes the zeros of the function f(x) = 6(pi)sin(4x)?

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    2021-10-11T07:31:08+00:00

    Answer:

    The set of zeros is given by

    {x∈ Z | x=\frac{n\pi }{4} }

    Step-by-step explanation:

    The given function is

    f(x)=6(\pi)sin(4x)

    now to find the zeros of the function we set f(x)=0

    so we have

    6(\pi )sin(4x) =0

    sin(4x)=0            ( dividing both side by 6\pi)

    sin function is zero at angle 0 or multiple of \pi

    so we have

    4x= n\pi    (n∈ Z)

    dividing both side by 4

    x=\frac{n\pi }{4}      

    hence the set of zero is given by

    {x∈ Z | x=\frac{n\pi }{4} }

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