Complex Numbers

Question 1

The polar form of a complex number, Z, is __

Answer 1

Z = r(cosθ + isinθ)
Where r is the modulus

Question 2

θ in the polar form of a complex number, Z, is called ___ , and is calculated by the formula ___

Answer 2

1. Argument of Z
2. Arc tan (y/x)

Question 3

In the polar form of complex numbers the product of two complex number Z_1 and Z_2 is __

Answer 3

Z_1 x Z_2 = r_1 • r_2 • cis(θ_1 + θ_2)