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.
Proof of Euler's formula? - Mathematics Stack Exchange
Feb 27, 2025 · I have been searching for a satisfying proof of Euler's formula. Namely: $$ e^{ix}= \\cos{x} + i\\sin{x} $$ There are 3 proofs mentioned in Wikipedia: Using differentiation Using power …
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 …
$\\sin(x)$ 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 …
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
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
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!
Almost exact formula for sum of Euler Phi function $\sum_ {k=1}^n ...
Apr 25, 2023 · Almost exact formula for sum of Euler Phi function $\sum_ {k=1}^n \varphi (k)$ Ask Question Asked 2 years, 9 months ago Modified 2 months ago
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.
euler totient approximation - Mathematics Stack Exchange
Oct 31, 2023 · Edit 1 : this post Upper bound for Euler's totient function on composite numbers show in this case (number with two prime factors) than my approximation is in reality an upper bound.