Question

Find the resultant​ (sum) of the complex numbers. Express in rectangular form a plus b i.

3 - 12 i, -7 + 2 i

Answer 1

he trigonometric ( or polar) form of z= a+bi is z = r(cosθ+isinθ) .

So for Part 3 3 - 3i we have r = √(3^2 + (-3)^2) = 3√2 and θ= arctan(3/-3) = arctan (-1) = -π/4.

So the answer is 3√2(cos(-π/4) + isin(-π/4).

Part 1. 3 = 3(cos 0 - i sin 0).

Part 2. -6i = 6(cos (-π/2) - isin -(π/2)

Explanation: