Fundamental Mathematics/Arithmetic/Arithmetic Number/Complex Number
Complex Number edit
Complex Number
Complex conjugate Number
Mathematical Operations edit
Operation on 2 different complex numbers edit
Addition Subtraction Multilication Division
Operation on complex numbers and its conjugate edit
Addition Subtraction Multilication Division
In Polar form
Power of Z edit
Since
Hence
Since
Hence
Euler's formula edit
Euler formula edit
of which there is the famous case (for θ = π):
More generally,
Eucleur's power can be expressed as complex number
Hence, conjugate of the complex number
Adding complex number and its conjugate
Minus complex number and its conjugate
de Moivre's formula edit
for any real and integer . This result is known as