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2sin*x/2=√3 equation

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Numerical solution:

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The solution

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2*sin(x)     ___
-------- = \/ 3 
   2
2sin⁡(x)2=3\frac{2 \sin{\left(x \right)}}{2} = \sqrt{3}
Simplify
Detail solution
Given the equation
2sin⁡(x)2=3\frac{2 \sin{\left(x \right)}}{2} = \sqrt{3}
- this is the simplest trigonometric equation
As right part of the equation
modulo =
True

but sin
can no be more than 1 or less than -1
so the solution of the equation d'not exist.
The graph
0-80-60-40-2020406080-1001002.5-2.5
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
            /    /  ___\\       /    /  ___\\
x1 = pi - re\asin\\/ 3 // - I*im\asin\\/ 3 //
x1=−re⁡(asin⁡(3))+π−iim⁡(asin⁡(3))x_{1} = - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} 
         /    /  ___\\     /    /  ___\\
x2 = I*im\asin\\/ 3 // + re\asin\\/ 3 //
x2=re⁡(asin⁡(3))+iim⁡(asin⁡(3))x_{2} = \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} 
x2 = re(asin(sqrt(3))) + i*im(asin(sqrt(3)))
Sum and product of roots [src] 
sum
       /    /  ___\\       /    /  ___\\       /    /  ___\\     /    /  ___\\
pi - re\asin\\/ 3 // - I*im\asin\\/ 3 // + I*im\asin\\/ 3 // + re\asin\\/ 3 //
(re⁡(asin⁡(3))+iim⁡(asin⁡(3)))+(−re⁡(asin⁡(3))+π−iim⁡(asin⁡(3)))\left(\operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)}\right) 
=
pi
π\pi 
product
/       /    /  ___\\       /    /  ___\\\ /    /    /  ___\\     /    /  ___\\\
\pi - re\asin\\/ 3 // - I*im\asin\\/ 3 ///*\I*im\asin\\/ 3 // + re\asin\\/ 3 ///
(re⁡(asin⁡(3))+iim⁡(asin⁡(3)))(−re⁡(asin⁡(3))+π−iim⁡(asin⁡(3)))\left(\operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)}\right) 
=
 /    /    /  ___\\     /    /  ___\\\ /          /    /  ___\\     /    /  ___\\\
-\I*im\asin\\/ 3 // + re\asin\\/ 3 ///*\-pi + I*im\asin\\/ 3 // + re\asin\\/ 3 ///
−(re⁡(asin⁡(3))+iim⁡(asin⁡(3)))(−π+re⁡(asin⁡(3))+iim⁡(asin⁡(3)))- \left(\operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)}\right) \left(- \pi + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{3} \right)}\right)}\right) 
-(i*im(asin(sqrt(3))) + re(asin(sqrt(3))))*(-pi + i*im(asin(sqrt(3))) + re(asin(sqrt(3))))
Numerical answer [src] 
x1 = 1.5707963267949 + 1.14621583478059*i
x2 = 1.5707963267949 - 1.14621583478059*i
x2 = 1.5707963267949 - 1.14621583478059*i
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