Question

HELP FAST PLEASE!!!!!

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

Answer 1

The set of zeros is given by

{x∈ Z |
`x=(n\pi )/(4)` }

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=(n\pi )/(4)`

hence the set of zero is given by

{x∈ Z |
`x=(n\pi )/(4)` }