How to prove Euler's formula: $e^{it}=\\cos t +i\\sin t$?
Aug 28, 2010 · Euler's formula is quite a fundamental result, and we never know where it could have been used. I don't expect one to know the proof of every dependent theorem of a given result.
How to convert Euler angles to Quaternions and get the same Euler ...
Oct 29, 2018 · 19 I am rotating n 3D shape using Euler angles in the order of XYZ meaning that the object is first rotated along the X axis, then Y and then Z. I want to convert the Euler angle to …
linear algebra - Why do Euler angles suffer from gimbal lock but not ...
Dec 25, 2023 · I know why Euler angles suffer from gimbal lock (with the help of a physical gimbal/gyro model), but I read from various sources (1, 2) that rotation matrices do not.
$\\sin(x)$ infinite product formula: how did Euler prove it?
Check out this link: Ed Sandifer: How Euler Did It, March 2004 And here: Wikipedia: Basel Problem The Wikipedia link shows there actually does exist an "elementary" proof of the generalized Basel …
Proving euler's reflection formula - Mathematics Stack Exchange
Nov 20, 2020 · Proving euler's reflection formula Ask Question Asked 5 years, 2 months ago Modified 5 years, 2 months ago
A sequence based on Euler's totient function that always converges to ...
Nov 8, 2025 · A sequence based on Euler's totient function that always converges to prime numbers Ask Question Asked 2 months ago Modified 2 months ago
"Taylor series" and "proof of Euler's formula"
Jan 13, 2015 · 4 I have learned that we can prove Euler's formula by using Taylor series, as shown on wiki: Euler's Formula. I have a question. As wiki says: In mathematics, a Taylor series is a …
How to find Euler's angles? - Mathematics Stack Exchange
Feb 6, 2013 · I have read about Euler's angles and matrices, including $zxz,zyz$, etc . I am not obliged to use a specific rotation but rather I want to figure out what angles I need to use for alpha,theta, …
Euler's formula to show cost= (e^ (it) +e^ (-it))/2?
May 9, 2014 · hmm how do I show that cost= (e^ (it) +e^ (-it))/2 by the use of eulers formula? e^ (it)=cost +isint ?? ty for help!
Euler-Maclaurin formula as an asymptotic series
Mar 1, 2025 · Explore related questions sequences-and-series asymptotics divergent-series euler-maclaurin See similar questions with these tags.