## Euler Formula: Four Ways to Represent Complex Number

There are four ways to represent a complex number and its complex conjugate.

A complex number can also be written as

(Ordered Pair Form)

(Cartesian Form)

(Trigonometric Form)

(Polar Form)

All above four forms are representing the same complex number.

A complex conjugate can also be written as

(Ordered Pair Form)

(Cartesian Form)

(Trigonometric Form)

(Polar Form)

All above four forms are representing the same complex conjugate number.

It follows that

**
Euler Formulas:
**

Thus, Euler formula represents a complex number with modulus of one, that is

**
See Also
**
:
What is Complex Number
,
Complex Plane
,
Complex Arithmetic

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