Answer:
The set of zeros is given by
{x∈ Z | [tex]x=\frac{n\pi }{4}[/tex] }
Step-by-step explanation:
The given function is
[tex]f(x)=6(\pi)sin(4x)[/tex]
now to find the zeros of the function we set f(x)=0
so we have
[tex]6(\pi )sin(4x) =0[/tex]
[tex]sin(4x)=0[/tex] ( dividing both side by 6[tex]\pi[/tex])
sin function is zero at angle 0 or multiple of [tex]\pi[/tex]
so we have
4x= n[tex]\pi[/tex] (n∈ Z)
dividing both side by 4
[tex]x=\frac{n\pi }{4}[/tex]
hence the set of zero is given by
{x∈ Z | [tex]x=\frac{n\pi }{4}[/tex] }
