State the domain and range of the relation y = arccos x.

Question

fortytherapper · Answer

Let's first graph the function. Have you done that?

sammietaygreen · Answer

Yes. I'm thinking the range is all real numbers but am unsure.

sammietaygreen · Answer

but I may be thinking of x = arcsin x not arccos

sammietaygreen · Answer

@mathmate

fortytherapper · Answer

The just like the graph of sin and cos, arccos has a certain range (y-values). What y-values does the graph stop at?

sammietaygreen · Answer

0 and pi?

anonymous · Answer

the domain is the same as the range of sine
the range you do not find, it is agreed upon. by convention the range of arcsine is $$[-\frac{\pi}{2},\frac{\pi}{2}]$$

sammietaygreen · Answer

So it's basically just the range of sine?

anonymous · Answer

the domain of arcsine is the range of sine, yes.  
do you know what that is?

sammietaygreen · Answer

wouldn't it be -1 ≤ x ≤ 1

anonymous · Answer

yes also i made a mistake, the question says arccosine not arcsine

anonymous · Answer

by convention, the range of arccosine is $$[0,\pi]$$

sammietaygreen · Answer

That's what I thought. Can I send you my answer choices?

sammietaygreen · Answer

attachment

anonymous · Answer

unfortunately none of those are correct

anonymous · Answer

the domain of arccosine is $-1\leq x\leq 1$ and the range is $0\leq y\leq \pi$

sammietaygreen · Answer

I don't get it then because those are the only ones. So I'm not sure.