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How do you evaluate $arcsin 0$ $arcsin 0$ ?

1 Answer

Jun 11, 2015

$arcsin (0) = 0 + k π$ $arcsin(0) = 0 +kpi$ for all $k epsilon ZZ$

Explanation:

$arcsin(x) =$ all values of $theta$ for which $sin(theta) = x$
$color(white)("XXXX")$ $color(white)("XXXX")$ from basic definition of arcsin

$sin(theta) = 0$ when
$color(white)("XXXX")$ $theta =0$ and for all "half-circle" ( $pi$ ) rotations from angle $0$

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