# Not So Simple Simplification

Algebra Level 3

If $$\tan \alpha = \frac{1}{1+2^{-x}}$$ and $$\tan \beta = \frac{1}{1+2^{x+1}}$$, then find $$\alpha + \beta$$ in radians

(Assume: $$0 \leq \alpha , \beta \leq \frac{\pi}{2}$$)

This problem is designed by @Amrita

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