Question

At what values of x does the graph of f(x)= sin x intersect the x-axis?

a) All multiples of pi/2
b) odd multiples of pi/2
c) all multiples of pi
d) even multiples of pi

Answer 1

d) not fully sure thoe

Answer 2

c) all multiples of
`\pi`

Explanation:

The given function is

`f(x)=\sin(x)`

The graph of this function is shown in the attachment.

We can see that the graph intersect the x-axis at
`...,\pi,2\pi,3\pi...`

We can also solve the equation,

`\sin(x)=0`

and obtain;

`x=n \pi`, where n is an integer.

as the x-values where the graph intersect the x-axis.