I know that if $y=\sin x$ then $\arcsin y=x$; that is, $\arcsin$ is used for the inverse and $\arcsin$ is not a function if we don't restrict the domain of $y=\sin x$ but I don"t get that what is the meaning of arc in "$\arcsin$" because $\arcsin$ just gives us measures of angles $x$?
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One way to see it is that we always denote an angle inside a polygon by drawing an arc between edges. – Chee Han May 20 '16 at 04:48
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The "arc" refers to an arc of a unit circle. Thus in the following picture, $\arcsin(y)$ is the length of the blue arc.
Robert Israel
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