Question

What is the justification for step b in the proof of de Moivre's theorem?

1) Distributive property
2) Factoring
3) Multiplication rule
4) Assumption (for n = k step)

Answer 1

The justification for step b in the proof of de Moivre's theorem is the Distributive property. It involves multiplying two complex numbers using the distributive property.

Step-by-step explanation:

The justification for step b in the proof of de Moivre's theorem is the Distributive property. The distributive property states that for any real numbers a, b, and c, the expression (a + b) * c is equal to a * c + b * c.

In the context of de Moivre's theorem, step b involves multiplying two complex numbers using the distributive property. By expanding the expression (cos θ + isin θ) * (cos θ + isin θ), we can apply the distributive property to obtain the desired result.