Ask a New Question
Search
Asked by
QT
(-1+i 3^1/2)^12 using moivre's theorem
Answers
Answers
Answered by
Reiny
so we have
(-1 + i√3)^12
let u = -1 + i√3
= √10(cos(2π/3) + i sin(2π/3))
u^12 = √10^12(cos 8π + i sin 8π)
= 10^6( 1 + i(0))
= 10^6 or 1,000,000
Related Questions
Related
Use De Moivre’s Theorem to simplify each expression. Write the answer in the form a + bi. {1 -...
Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form. [2(cos 240°...
Use De Moivre's Theorem to write the complex number in trigonometric form (cos(2pi)/7)+ i sin((2p...
How do you use de Moivre's formulas to find ∜i?
one of de moivre other finding isthat for events that are approximated by a bell curve roughly 95 pe...