Use De Moivre’s theorem and simplify the following: (cos 2θ + i sin 2θ)^7/(cos 2θ + i sin 4θ)^3

Question

Use De Moivre’s theorem and simplify the following: \(\frac{(cos2\theta+isin2\theta)^7}{(cos4\theta+isin4\theta)^3}\)

(cos 2θ + i sin 2θ)⁷/(cos 2θ + i sin 4θ)³

Answer 1

\(\frac{(cos2\theta+isin2\theta)^7}{(cos4\theta+isin4\theta)^3}\) 

 

Alternate Method: