Trigonometry

Geometry Level 3

k=045(1+tan(kπ180))=2m\large \prod_{k=0}^{45} \left(1 + \tan\left( \dfrac{k\pi}{180} \right) \right) = {2}^{\color{#D61F06}{m}} m=?\large\color{#D61F06}{m} = \, ?


This question was taken from IME (Instituto Militar de Engenharia - Brazil).
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