Question

*The graph of which equation is symmetric withrespect to the origin?1) y = -32) X= 23) y = sinx4) y = cos x

Answer 1

The graph is symmetric about the origin if point (x,y) lie on the curce then point (-x,y) should also be on the curve.

For the equation y = sin x.

Substitute -x for x in the equation y = sin x.

`\begin{gathered} y=\sin (-x) \\ =-\sin x \\ =-y \end{gathered}`

So curve y = sinx is symmetric about the origin.