# Sketching A Graph

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• Oct 9th 2011, 08:40 AM
Manni
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?
• Oct 9th 2011, 08:49 AM
e^(i*pi)
Re: Sketching A Graph
Quote:

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: $\displaystyle \arccos(\cos(x)) = x$
• Oct 9th 2011, 08:53 AM
Manni
Re: Sketching A Graph
Oh ok. Just doubling checking, but would there be any restrictions to the domain and range of this graph?
• Oct 9th 2011, 10:50 AM
skeeter
Re: Sketching A Graph
Quote:

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

$\displaystyle y = \arccos(\cos{x})$

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

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

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