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.

Satyajit Mohanty by Satyajit Mohanty
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