Thread: 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?

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: $\displaystyle \arccos(\cos(x)) = x$

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

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