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

3 - 12 i, - 7 + 2 i

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)