How do you evaluate $arcsin (\frac{\sqrt{2}}{2})$ $arcsin(sqrt2/2)$ ?

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Answer 1 · 2015-07-25T05:44:26

Find arcsin (sqrt2/2)

Ans: $\frac{π}{4}$ $pi/4$ and $\frac{3 π}{4}$ $(3pi)/4$

Trig table gives --> $sin x = \frac{\sqrt{2}}{2}$ $sin x = sqrt2/2$ --> $x = \frac{π}{4}$ $x = pi/4$

Trig unit circle gives another arc $x = \frac{3 π}{4}$ $x = (3pi)/4$ that has the same sin value $(\frac{\sqrt{2}}{2})$ $((sqrt2)/2)$

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