Which formula gives the zeros of y = sin(x)?

A. kπ for any positive integer k
B. kπ for any integer k
C. kπ/2 for any positive integer k
D. kπ/2 for any integer k

Respuesta :

going clockwise the zeros are at 0π,1π,2π etc
going counterclockwise the zeros are 0π,-1π,-2π etc.
correct answer is B

Answer:

(B) [tex]k{\pi}[/tex] for any integer k.

Step-by-step explanation:

The given function is:

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

We have to find the zeroes of the given function, thus we have

In clockwise direction, the zeroes of [tex]y=sin(x)[/tex] are [tex]0{\pi},1{\pi},2{\pi},...[/tex] and

In counterclockwise direction, [tex]0{\pi},-1{\pi},-2{\pi},...[/tex], thus

in general, the zeroes of the given function is [tex]k{\pi}[/tex] for any integer k.

Thus, option B is correct.