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

Question

asked Jan 15, 2018 64.1k views

2 Answers

Aland · Answer 1 · 2018-01-21T17:06:58+0000

Answer:

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.