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

Question

3912 views around the world

You can reuse this answer
Creative Commons License

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,

$y = sin (- x) = - sin (x)$ $y= sin(-x)= -sin(x)$

Now, put important circular angles,

lets say,

when $x = \frac{π}{6}, y = - sin (\frac{π}{6}) = - \frac{1}{2}$ $x = pi/6, y= -sin(pi/6) = -1/2$

and so on,

when $x = \frac{π}{4}, y = - sin (\frac{π}{4}) = - \frac{1}{\sqrt{2}}$ $x = pi/4, y= -sin(pi/4) = -1/sqrt(2)$

when $x = \frac{π}{3}, y = - sin (\frac{π}{3}) = - \frac{\sqrt{3}}{2}$ $x = pi/3, y= -sin(pi/3) = -sqrt(3)/2$

when $x = \frac{π}{2}, y = - sin (\frac{π}{2}) = - 1$ $x = pi/2, y= -sin(pi/2) = -1$

when $x = - \frac{π}{6}, y = - sin (- \frac{π}{6}) = \frac{1}{2}$ $x = -pi/6, y= -sin(-pi/6) = 1/2$

when $x = - \frac{π}{4}, y = - sin (- \frac{π}{4}) = \frac{1}{\sqrt{2}}$ $x = -pi/4, y= -sin(-pi/4) = 1/sqrt(2)$

when $x = - \frac{π}{3}, y = - sin (- \frac{π}{3}) = \frac{\sqrt{3}}{2}$ $x = -pi/3, y= -sin(-pi/3) = sqrt(3)/2$

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