# Math Help - Sketching A Graph

1. ## Sketching A Graph

Hey guys, how would I sketch a graph of y = arccos(cos x) for all values of x? I begin defining the domain and range for cosx, but where do I go from there?

2. ## Re: Sketching A Graph

Originally Posted by Manni
Hey guys, how would I sketch a graph of y = arccos(cos x) for all values of x? I begin defining the domain and range for cosx, but where do I go from there?
For values in the domain: $\arccos(\cos(x)) = x$

3. ## Re: Sketching A Graph

Oh ok. Just doubling checking, but would there be any restrictions to the domain and range of this graph?

4. ## Re: Sketching A Graph

Originally Posted by Manni
Oh ok. Just doubling checking, but would there be any restrictions to the domain and range of this graph?
$y = \arccos(\cos{x})$

$-1 \le \cos{x} \le 1$

domain ... $x \in \mathbb{R}$

range ... $0 \le y \le \pi$