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arcctg((1-x)/2/x)+arccos(2x)=pi/2 equation

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Numerical solution:

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The solution

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    //1 - x\\                 
    ||-----||                 
    |\  2  /|               pi
acot|-------| + acos(2*x) = --
    \   x   /               2 
$$\operatorname{acos}{\left(2 x \right)} + \operatorname{acot}{\left(\frac{\frac{1}{2} \left(1 - x\right)}{x} \right)} = \frac{\pi}{2}$$
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Numerical answer [src]
x1 = 0.4
x2 = 3.93832063146364e-8 + 3.59382158996016e-7*i
x2 = 3.93832063146364e-8 + 3.59382158996016e-7*i