Logarithm + Trigonometry = Summation

Geometry Level 4

log⁡2(1+cot⁡46∘)+log⁡2(1+cot⁡47∘)+log⁡2(1+cot⁡48∘)+…+log⁡2(1+cot⁡89∘)= ?\begin{aligned} \large &&\log_{2}{(1+\cot{46^{\circ}})} \\ \large&+&\log_{2}{(1+\cot{47^{\circ}})}\\ \large &+&\log_{2}{(1+\cot{48^{\circ}})} \\ \large &+&\ldots \\ \large &+&\log_{2}{(1+\cot{89^{\circ}})}\\ \large &=&\ ? \end{aligned}

Ikkyu San by Ikkyu San
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