How do you find the exact value of $arcsin(sqrt2/2)$ ?

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Answer 1 · 2017-06-27T05:27:45

$pi/4; (3pi)/4$

Trig table gives:
$sin x = sqrt2/2$ --> arc $x = pi/4$
Unit circle gives another arc x that has the same sin value:
$x = pi - pi/4 = (3pi)/4$

How do you find the exact value of arcsin(sqrt2/2)arcsin(sqrt2/2)?