Question

True or False: De Moivre's theorem is used to raise a complex number to a positive integer power.

Answer 1

True. De Moivre's theorem is used to raise a complex number to a positive integer power.

Answer 2

The given statement is a TRUE statement.

Explanation:

The rule of De Moivre's Theorem can be established by the method of mathematical induction for natural numbers and then it can be extended for integers.

The theorem gives a formula for computing the powers of complex numbers.

The formula is given as:

`(\cos \theta+i\sin \theta)^n=\cos n\theta+i\sin n\theta`

Hence, De Moivre's theorem is used to raise a complex number to a integer power( both for positive and negative).