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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