How do you evaluate $arcsin(sin((5pi)/3))$ ?

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Answer 1 · 2015-06-15T05:21:09

$arcsin$ and $sin$ are inverses. Inverses, when applied on each other, cancel.

$x*1/x = 1$ , $arcsin(sinx) = x$ , $b^(log_(b)x) = x$ , etc.

$cancel(arcsin)(cancel(sin)((5pi)/3)) = (5pi)/3$

How do you evaluate arcsin(sin((5pi)/3))arcsin(sin((5pi)/3))?