Complex Numbers*

• (cosθ + isinθ)^n = cosnθ + isinnθ for positive and negative numbers.
• |a + ib| = root of a^2 + b^2 = radius
• Argument of a complex number is given as an angle in radians, and it rotates anticlockwise.
• z = [r, θ] => r(cosθ + isinθ)
• z^N = r^N(cosNθ + isinNθ) = r^N * e^iNθ
• When finding the n amount of roots of a complex number, you let n = 0,1,2,3...,n for the amount of roots.