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Section 6.6
4+4sqrt(3)*i
Use
z=a+bi=|z|(cos(θ)+i*sin(θ))
|z|=8
θ = arctan(b / a)
θ = arctan(4sqrt(3) / 4)
θ = arctan(sqrt(3) )
θ = π/3
|z|(cos(θ)+i*sin(θ)) =8(cos(π/3)+i*sin(π/3))
4+4sqrt(3)*i
Use
z=a+bi=|z|(cos(θ)+i*sin(θ))
|z|=8
θ = arctan(b / a)
θ = arctan(4sqrt(3) / 4)
θ = arctan(sqrt(3) )
θ = π/3
|z|(cos(θ)+i*sin(θ)) =8(cos(π/3)+i*sin(π/3))