Exponential Trigonometry!

Geometry Level 4

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

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

Note: xx is measured in radians.

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