Exponential Trigonometry!

Geometry Level 4

\[\Large{2^{\sin(x) - \cos(x)} = \tan(x)}\]

Find the sum of all values of \(x\) such that \(x \in (0, 2\pi) \) satisfying the above equation upto three correct places of decimals.

Note: \(x\) is measured in radians.

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