Respuesta :

the x-intercepts of cosx are

[tex]\frac{\pi }{2}[/tex] and [tex]\frac{3\pi }{2}[/tex] on [0, 2π )


Answer:

Tthe x-intercepts of f(x)= cosx on [0, 2π ) are:

[tex]\frac{\pi }{2}[/tex] and [tex]\frac{3\pi }{2}[/tex]

Step-by-step explanation:

x-intercept are those values of x for which f(x)=0

So, x-intercept of  f(x)=cosx will be those values of x for which

cosx=0

cosx=0 for  

[tex]\frac{\pi }{2}[/tex] and [tex]\frac{3\pi }{2}[/tex] on [0, 2π )

Hence, the x-intercepts of f(x)= cosx on [0, 2π ) are:

[tex]\frac{\pi }{2}[/tex] and [tex]\frac{3\pi }{2}[/tex]