Question

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cos^-1(1)........ i know the answer is 0 but why?

Answer 1

because \(\cos(0)=1\) and it is the only number between \(0\) and \(\pi\) for which that is true

Answer 2

is there a better explanation?

Answer 3

not really, no

Answer 4

you are looking for a number \(x\) in the interval \([0,\pi]\)with \(\cos(x)=1\)
that number is \(0\) and that is all there is to it

Answer 5

that would be my best explanation too