Expressing complex numbers in the form Re^(iθ)
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Expressing complex numbers in the form Re^(iθ)

[From: ] [author: ] [Date: 11-04-27] [Hit: ]
!-For the complex number a + bi,......
How do you express this:

5*sqrt(3)+5i in the form R*e^(iθ)?

I need to solve for R and θ, but I don't know what to do. If anyone could help, I'd really appreciate it!!

-
For the complex number a + bi, R = √(a² + b²) and Θ = arctan(b/a)

R = √((5√3)² + 5²) = 10

Θ = arctan(1/√3) = π/6
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