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

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Answer 1 · 2016-11-02T08:41:50

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

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 #