Question
use Demoivre's theorem to find the power [5(cos3.2 + isin3.2)]^4
Answers
drwls
Is the 3.2 in radians?
First, factor out 5^4 = 625.
Then review and apply De Moivre's theorem. For any x,
(cosx + i sinx)^n = cos(nx) + i sin(nx)
First, factor out 5^4 = 625.
Then review and apply De Moivre's theorem. For any x,
(cosx + i sinx)^n = cos(nx) + i sin(nx)