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trigonometry - Proving that $\arctan(x)+\arctan(1/x)=\pm \pi/2$, could this line of reasoning possibly be correct? - Mathematics Stack Exchange
Arctan(x)+arctan(1/x)=pi/2 - YouTube
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Dave Richeson on X: "Euler proved that π/4=arctan(1/2)+arctan(1/3), which can be used for computing digits of π (using the arctangent series). I wondered if I could prove it without using a trig
arctan(1)+arctan(2)+arctan(3)=pi – GeoGebra
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