Complex Number Formulas

Complex Number Formulas

Algebra rules and formulas for complex numbers are listed below.

Definitions: 1. i=√(-1) and i²=-1. 2. Complex number form a+bi, a and b real. 3. Conjugate of a+bi is a-bi.

Arithmetic rules for complex numbers: addition, subtraction, multiplication, conjugates, and division formulas using a+bi and...

Powers of i: i^n = i, -1, -i, or 1 based on n mod 4, with examples i¹=i, i²=-1, i³=-i, i⁴=1.

De Moivre's Theorem: [r(cosθ + i sinθ)]^n = r^n(cos nθ + i sin nθ)