Euler's formula is . It is remarkable in that it relates trigonometric function functions with complex numbers. Euler's formula maps the natural constant e raised to the complex exponent to the complex plane using the trigonometric expression . This equation is true only if the angle θ is measured in radians.
Click on the blue point in manipulative 1 and drag it to change the figure. The axes in manipulative 1 are the real axis and imaginary axis of the complex plane.
Euler's formula is named after Leonhard Euler who published it in its present form in 1748.
Leonard Euler was a very prolific mathematician. Note that the phrase Euler's Formula is used to indicate different formulas in different disciplines.
All Math Words Encyclopedia is a service of
Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License