Demoivres Theorem Calculator





How does the Demoivres Theorem Calculator work?

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?

  1. if z = rcis(θ), then zn = rncis(n?)

For more math formulas, check out our Formula Dossier

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 zn = rncis(nθ)
imaginary number
a real number multiplied by the imaginary unit i, which is defined by its property i2 = -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

  1. 2cis60^3
  2. 4-7i