Using DeMoivre’s Theorem, evaluate:
2cis603
DeMoivre's Theorem definition
z = rcis(θ), then
zn = rncis(nθ)
Plug in θ = 60, n = 3, and r = 2
2cis603 = 23cis(3 x 60)
2cis603 = 8cis(180)
What is the Answer?
2cis603 = 8cis(180)
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.
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 zn = rncis(n?)
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
