Pi/4=5arctan(1/7)+2arctan(3/79) [9 réponses] : ✯✎ Supérieur - 20240 - Forum de Mathématiques: Maths-Forum
![Dave Richeson on Twitter: "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 Dave Richeson on Twitter: "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](https://pbs.twimg.com/media/DhXRIQiX0AA9cMz.jpg)
Dave Richeson on Twitter: "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
![algebra precalculus - Solving trigonometric equation $\arctan y^2+\arctan x^2= π/4$ - Mathematics Stack Exchange algebra precalculus - Solving trigonometric equation $\arctan y^2+\arctan x^2= π/4$ - Mathematics Stack Exchange](https://i.stack.imgur.com/pBfF8.png)