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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 :

zaya00
d) not fully sure thoe

Answer:

c) all multiples of [tex]\pi[/tex]

Step-by-step explanation:

The given function is

[tex]f(x)=\sin(x)[/tex]

The graph of this function is shown in the attachment.

We can see that the graph intersect the x-axis at [tex]...,\pi,2\pi,3\pi...[/tex]

We can also solve the equation,

[tex]\sin(x)=0[/tex]

and obtain;

[tex]x=n \pi[/tex], where n is an integer.

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

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