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What is $arcsin (sin (\frac{1}{4}))$ $arcsin(sin(1/4))$ ?

1 Answer

Jan 6, 2017

$arcsin (sin (\frac{1}{4})) = \frac{1}{4}$ $arcsin(sin(1/4))=color(green)(1/4)$

Explanation:

By definition the $arcsin$ $arcsin$ function returns a value in the range $[0, π)$ $[0,pi)$

As long as $θ$ $theta$ is in the range $[0, π)$ $[0,pi)$
$XXX arcsin (sin (θ)) = θ$ $color(white)("XXX")arcsin(sin(theta))=theta$

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