describe the symmetry of y=sin x?

Question

describe the symmetry of y=sin x

Answer 1

I suggest you make a graph of y = sin(x), then rotate the graph by 180 degrees. It should look the same.

More specifically, the function is anti-symmetric, meaning
sin(-x) = -sin(x)

Compare this with the cosine function, which is symmetric, obeying this rule:
cos(-x) = cos(x)

Answer 2

sin(x) = - sin(-x)

This means that sin(x) is symmetric about the origin.

Answer 3

the symetry of y = sin x --> y = sin (-x) = - sin (x)