Question

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

Answer 1

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

Answer 2

(B)
`k{\pi}` for any integer k.

Explanation:

The given function is:

`y=sin(x)`

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

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

In counterclockwise direction,
`0{\pi},-1{\pi},-2{\pi},...`, thus

in general, the zeroes of the given function is
`k{\pi}` for any integer k.

Thus, option B is correct.