Question

help with demoivre theorem (-1-i)^7

Answer 1

HI!!

Answer 2

how do you solve this?

Answer 3

step one is to write
\[-1-i\] in trig form, polar form, or whatever you are calling it

Answer 4

doesnt it get squared?

Answer 5

no

Answer 6

you have to raise it to the power of 7

Answer 7

but with r=A^2+B^2

Answer 8

help

Answer 9

do you know how to write
\[-1-i\] as \[r\left(\cos(\theta)+i\sin(\theta)\right)\]?

Answer 10

that is what you have to do here

Answer 11

if you cannot do that, i can help, but you can't do the problem without it

Answer 12

laettner yes you do square A and B then square root it to get r

Answer 13

\[r=\sqrt{a^2+b^2}\] yes which in this case is \(\sqrt2\)
then you have to find \(\theta\)

Answer 14

you know how to do that?