Find the fifth roots of the following complex number.

Find the fifth roots of the following complex number.
4.52(cos(1.19)+sin(1.19)i)
Where θ=1.19 is in radians. There are five such roots in the interval [0,2π) and they all have the same r>0.

Find r>0.
Find the first angle.
Find the second angle.
Find the third angle.
Find the fourth angle.
Find the fifth angle.

Hello,

Let us find complex value z such as:
z⁵ = 4.52 × [cos(1.19) + i.sin(1.19)] = 4.52 × e^(1.19 × i)

Thus the modulud r=⁵√(4.52)

And the angles are, in radians:
θ₀ = (1.19)/5
θ₁ = (1.19 + 2π)/5
θ₂ = (1.19 + 4π)/5
θ₃ = (1.19 + 6π)/5
θ₄ = (1.19 + 8π)/5

Logically,
Dragon.Jade :-)