need help with trigonometry question ?

Question

Answer 1

With max magnification still can not read your text. So sad.

Answer 2

First you need to find r, the distance from the origin. This is easily done via the pythagorean theorem since you have both a real coefficient (a = 3) and an imaginary one (b = -4).

Then you need the angle. This can be found with the inverse tangent function since you have the two non-hypotenuse sides of a triangle. tan(x) = opp/adj = a/b

So x = arctan(a/b)

Answer 3

z = 3 - 4 i ≈ 5  e^(-53.13[π/180] i)....angle is ≈- 53.13°