Using DeMoivre’s Theorem, evaluate:

2cis60^{3}

##### DeMoivre's Theorem definition

z = rcis(θ), then

z^{n} = r^{n}cis(nθ)

##### Plug in θ = 60, n = 3, and r = 2

2cis60^{3} = 2^{3}cis(3 x 60)

2cis60^{3} = 8cis(180)

*You have 2 free calculationss remaining*

##### How does the Demoivres Theorem Calculator work?

Free Demoivres Theorem Calculator - Using Demoivres Theorem, this calculator performs the following:

1) Evaluates (acis(θ))^{n}

2) Converts a + bi into Polar form

3) Converts Polar form to Rectangular (Standard) Form

This calculator has 6 inputs.

### What 1 formula is used for the Demoivres Theorem Calculator?

if z = rcis(θ), then z

^{n} = r

^{n}cis(n?)

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### What 3 concepts are covered in the Demoivres Theorem Calculator?

- demoivres theorem
- A formula useful for finding powers and roots of complex numbers

z = rcis(θ), then z^{n} = r^{n}cis(nθ) - imaginary number
- a real number multiplied by the imaginary unit i, which is defined by its property i
^{2} = -1. - polar
- a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction

##### Example calculations for the Demoivres Theorem Calculator

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