Find the value of $arcsin (sin (\frac{2 π}{3}))$ $arcsin(sin((2pi)/3))$ ?

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Answer 1 · 2017-04-16T15:47:36

$arcsin (sin (\frac{2 π}{3})) = \frac{2 π}{3}$ $arcsin(sin((2pi)/3))=(2pi)/3$

By definition if $sin θ = x$ $sintheta=x$ , $arcsin x = θ$ $arcsinx=theta$ .

Here let $x = sin (\frac{2 π}{3})$ $x=sin((2pi)/3)$ ,

Then $arcsin (x) = \frac{2 π}{3}$ $arcsin(x)=(2pi)/3$

Putting value of $x$ $x$ in this, we have

$arcsin (sin (\frac{2 π}{3})) = \frac{2 π}{3}$ $arcsin(sin((2pi)/3))=(2pi)/3$

Find the value of arcsin(sin(2π3))arcsin(sin((2pi)/3))?