Question

Which of the following is a solution of z^6 = 64i?

2(cos105° + isin105°)

2(cos120° + isin120°)

2(cos135° + isin135°)

8(cos15° + isin15°)

Answer 1

can you write "i" in the form of
\(\cos \theta +i\sin \theta \)
what value of theta will u take ?

Answer 2

\(z^6 = 64(\cos \theta +i\sin \theta ) \\ z =2 (cos (\theta/6) + i \sin (\theta/6) )\)
using DeMovire's Theorem,

You only need theta :)

Answer 3

Divide the theta by 6, and you will get your angle :)

Answer 4

THANK YOU!!(:

Answer 5

welcome ^_^