How do you evaluate $arcsin (\frac{1}{\sqrt{2}})$ $arcsin(1/sqrt(2))$ ?

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How do you evaluate $arcsin (\frac{1}{\sqrt{2}})$ $arcsin(1/sqrt(2))$ ?

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Answer 1 · 2016-04-11T20:14:34

$arcsin (\frac{1}{\sqrt{2}}) = \frac{π}{4} (= 45^{\circ})$ $arcsin(1/sqrt(2)) = pi/4 (=45^@)$

Explanation:

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Assuming $arcsin (x)$ $arcsin(x)$ is restricted to $[0, π)$ $[0,pi)$
the above diagram shows the only configuration for $arcsin (\frac{1}{\sqrt{2}})$ $arcsin(1/sqrt(2))$

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How do you evaluate $arcsin (\frac{1}{\sqrt{2}})$ $arcsin(1/sqrt(2))$ ?

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How do you evaluate $arcsin (\frac{1}{\sqrt{2}})$ $arcsin(1/sqrt(2))$ ?