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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