Question

What are the important points to graph `y = sin (-x)`?

Answer 1

The Graph looks like
graph{-sin(x) [-5, 5, -2.5, 2.5]}

Explanation:

That's a good question. Remember,

`y= sin(-x)= -sin(x)`

Now, put important circular angles,

lets say,

when `x = pi/6, y= -sin(pi/6) = -1/2`

and so on,

when `x = pi/4, y= -sin(pi/4) = -1/sqrt(2)`

when `x = pi/3, y= -sin(pi/3) = -sqrt(3)/2`

when `x = pi/2, y= -sin(pi/2) = -1`

when `x = -pi/6, y= -sin(-pi/6) = 1/2`

when `x = -pi/4, y= -sin(-pi/4) = 1/sqrt(2)`

when `x = -pi/3, y= -sin(-pi/3) = sqrt(3)/2`