Question

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

Answer 1

Answer:

Hence, the set of zeros of sine function is:

x=kπ where k∈ integers.

Step-by-step explanation:

We have to find the formula that gives the zeros of:

$y=\sin x$

i.e. we have to find 'x' such that:

y=0.

i.e.

$\sin x=0$

We know that sine function takes zero value at the following set of values:

{  .......,-2π,-π,0,π,2π,3π,.....}

Or in general form it can be represent as:

x=kπ where k belongs to integers.

Hence, the set of zeros of sine function is:

x=kπ where k∈ integers.