By Kardi Teknomo, PhD .
ComplexNumber


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

A complex number Euler Formula: Four Ways to Represent Complex Number can also be written as

Euler Formula: Four Ways to Represent Complex Number (Ordered Pair Form)

Euler Formula: Four Ways to Represent Complex Number (Cartesian Form)

Euler Formula: Four Ways to Represent Complex Number (Trigonometric Form)

Euler Formula: Four Ways to Represent Complex Number (Polar Form)

All above four forms are representing the same complex number.

A complex conjugate Euler Formula: Four Ways to Represent Complex Number can also be written as

Euler Formula: Four Ways to Represent Complex Number (Ordered Pair Form)

Euler Formula: Four Ways to Represent Complex Number (Cartesian Form)

Euler Formula: Four Ways to Represent Complex Number (Trigonometric Form)

Euler Formula: Four Ways to Represent Complex Number (Polar Form)

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

It follows that

Euler Formula: Four Ways to Represent Complex Number

Euler Formula: Four Ways to Represent Complex Number

Euler Formulas:

Euler Formula: Four Ways to Represent Complex Number

Euler Formula: Four Ways to Represent Complex Number

Thus, Euler formula represents a complex number with modulus of one, that is Euler Formula: Four Ways to Represent Complex Number

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

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