Using DeMoivre's Theorem to Raise a Complex Number to a Power (8.6.1)

Question 1

• Review: A complex number in polar form is expressed as r(cos θ + i sin θ), where r is the absolute value of the number and θ is its angle from the x-axis.

Answer 1

• Review: A complex number in polar form is expressed as r(cos θ + i sin θ), where r is the absolute value of the number and θ is its angle from the x-axis.

Question 2

• You can raise a complex number z in polar form to any power n using DeMoivre’s theorem: z^n = r^n [cos(nθ) + isin(nθ)].

Answer 2

• You can raise a complex number z in polar form to any power n using DeMoivre’s theorem: z^n = r^n [cos(nθ) + isin(nθ)].