How do you calculate the $arcsin (\frac{\sqrt{3}}{2})$ $arcsin (sqrt(3)/2)$ ?

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How do you calculate the $arcsin (\frac{\sqrt{3}}{2})$ $arcsin (sqrt(3)/2)$ ?

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Answer 1 · 2015-11-20T03:13:41

Calculate $arcsin (\frac{\sqrt{3}}{2})$ $arcsin (sqrt3/2)$

Ans: $\frac{π}{6} and \frac{5 π}{6}$ $pi/6 and (5pi)/6$

Explanation:

Trig Table of Special Arcs -->
$sin x = \frac{\sqrt{3}}{2}$ $sin x = sqrt3/2$ --> arc $x = \frac{π}{6}$ $x = pi/6$ .
Trig unit circle gives another arc $x = \frac{5 π}{6}$ $x = (5pi)/6$ that has the same sin value $(\frac{\sqrt{3}}{2}) .$ $(sqrt3/2).$

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How do you calculate the $arcsin (\frac{\sqrt{3}}{2})$ $arcsin (sqrt(3)/2)$ ?

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