Please clarify how 3-4i in polar form is 5(cos 5.356 + i sin 5.356)

Answer 1

Draw and label a diagram

r² = 3² + (-4)²

r = 5

z = r(cos θ + i sin θ)

tan θ = -4 / 3

θ = -53.1294

z = 5(cos -53.1294 + i sin -53.1294)