On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does the graph cross the x-axis? Choose all answers that apply.
Select all that apply:

−2π
−3π2
−π
−π2
−π4

Respuesta :

Answer:

[tex]x=-\pi[/tex]

[tex]x=-2\pi[/tex]

Step-by-step explanation:

we are given

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

Any function crosses x-axis when it's y-value becomes 0

so, we can set

f(x)=0

and then we can solve for x

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

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

we can use unit circle

and we get

[tex]x=\pi,2\pi[/tex]

but we need angle on [−2π,0)

so, we can put negative sign

and we get

[tex]x=-\pi[/tex]

[tex]x=-2\pi[/tex]

Answer:

Correct answer:

−2π

−π

Step-by-step explanation:

If we look at the graph of f(x)=sinx over [−2π,0), we see that the graph crosses the x- axis in two spots; x=−2π and x=−π. We do not include x=0 because we are looking at f(x)=sinx from −2π up to but not including 0..