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

1 Answer
Nov 2, 2016

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) y=sin(x)=sin(x)

Now, put important circular angles,

lets say,

when x = pi/6, y= -sin(pi/6) = -1/2 x=π6,y=sin(π6)=12

and so on,

when x = pi/4, y= -sin(pi/4) = -1/sqrt(2) x=π4,y=sin(π4)=12

when x = pi/3, y= -sin(pi/3) = -sqrt(3)/2 x=π3,y=sin(π3)=32

when x = pi/2, y= -sin(pi/2) = -1 x=π2,y=sin(π2)=1

when x = -pi/6, y= -sin(-pi/6) = 1/2 x=π6,y=sin(π6)=12

when x = -pi/4, y= -sin(-pi/4) = 1/sqrt(2) x=π4,y=sin(π4)=12

when x = -pi/3, y= -sin(-pi/3) = sqrt(3)/2 x=π3,y=sin(π3)=32