Complex NumbersA complex number is a number with a real and an imaginary part, usually expressed in cartesian form The polar form can also be expressed in terms of trigonometric functions using the Euler relationship |
Index Complex numbers | ||
|
Go Back |
Euler RelationshipThe trigonometric functions are related to a complex exponential by the Euler relationship From these relationships the trig functions can be expressed in terms of the complex exponential: This relationship is useful for expressing complex numbers in polar form, as well as many other applications.
|
Index Complex numbers | ||
|
Go Back |
Polar Form, Complex NumbersThe standard form of a complex number is but this can be shown to be equivalent to the form which is called the polar form of a complex number. The equivalence can be shown by using the Euler relationship for complex exponentials. |
Index Complex numbers | ||
|
Go Back |