Find the values of `a` if equation `1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi),` has exactly one solution.

Explanation

To find the values of \( a \) such that the equation

\[ 1 - \cos x = \frac{\sqrt{3}}{2}|x| + a \]

has exactly one solution in the interval \( x \in (0, \pi) \), we can follow these steps:

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