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Mathematics 17 Online
OpenStudy (anonymous):

Arcsin(sin(3pi))

OpenStudy (anonymous):

sin^-1(sin(x))=x

OpenStudy (anonymous):

not quite... 0

OpenStudy (anonymous):

the range of arcsin is -pi/2 to pi/2

OpenStudy (lgbasallote):

well my calculator says 3 pi @dpaInc :P and yeah sin^-1 (sin x ) = x sin (sin^-1 x) = x IF they exist

OpenStudy (anonymous):

@lgbasallote , hmm where did you buy your calculator? http://www.wolframalpha.com/input/?i=Arcsin%28sin%283pi%29%29

OpenStudy (anonymous):

and how do you make a yellow post like that to single me out?

OpenStudy (dumbcow):

technically there are infinite solutions --> Arcsin(0) = 0+n*pi

OpenStudy (anonymous):

but doesn't the capital A in Arcsin mean principal value?

OpenStudy (lgbasallote):

0, pi, 2pi, 3pi, 4 pi, etc are all right

OpenStudy (dumbcow):

crap...details, details...probably i skipped that lesson on principal values

OpenStudy (lgbasallote):

but i assume their lesson is to prove the thing i said so 3pi would be the answeer

OpenStudy (anonymous):

\[\sin^{-1}(\sin( 3pi) = \sin^{-1}(\sin 180)= 0\]

OpenStudy (anonymous):

diplomacy....Let's agree to disagree.. :)

OpenStudy (anonymous):

nah... now that no one's around...

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