Respuesta :
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:
[tex]y=\sin x[/tex]
i.e. we have to find 'x' such that:
y=0.
i.e.
[tex]\sin x=0[/tex]
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.