An algebra problem by Bloons Qoth

Algebra Level 2

e i π = ? \Huge e^{i \pi} = \, ?

1 e e -1 0

Bloons Qoth by Bloons Qoth , 21, USA

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4 solutions

Hung Woei Neoh
Jun 14, 2016

From Euler's formula:

e i x = cos ⁡ x + i sin ⁡ x e i π = cos ⁡ π + i sin ⁡ π = − 1 + i ( 0 ) = − 1 e^{ix} = \cos x + i \sin x\\ e^{i\pi} = \cos \pi + i \sin \pi\\ =-1+i(0)\\ =-1

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Mohammad Farhat
Sep 1, 2018

Eulerian Identity

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Punithan Mech
Jul 22, 2016

Eulers identity

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Bloons Qoth
Jun 14, 2016

Euler's Identity

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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