Question

Will Medal!

TRUE or FALSE?

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

Answer 1

hello

Answer 2

Hi

Answer 3

what do you know about DE Moivre's theorem

Answer 4

I find it difficult to understand. haha But just the formula I somewhat understand.

Answer 5

DeMoivre’s Theorem is used to raise complex numbers to integer powers.

DeMoivre’s Theorem: If z = a + bi is any complex number with trig form r cis q and n is any
positive integer then the n th power of z is given by
z
n
= r
n
cis n q = r
n
( cos n q + i sin n q ).
Example: Find [ 2(cos 15° + i sin 15° )] 6
. Write the result in standard form.

[ 2(cos 15° + i sin 15° )] 6 = (2 cis 15° ) 6
= 2 6
cis 6( 15 ° )
= 64 cis 90°
= 64 ( cos 90 + i sin 90)
= 64 ( 0 + 1 * i )
= 64 i .

Answer 6

http://sankofa.loc.edu/jharris/web/math145/8.5demoivre.pdf

Answer 7

good luck

Answer 8

I notice that it says "positive integer". Does that mean that it will be false because it cannot be negative?