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

2(cos105° + isin105°)

2(cos120° + isin120°)

2(cos135° + isin135°)

8(cos15° + isin15°)

Question

Which of the following is a solution of z^6 = 64i?

2(cos105° + isin105°)

2(cos120° + isin120°)

2(cos135° + isin135°)

8(cos15° + isin15°)

hartnn · Answer

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

hartnn · Answer

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

hartnn · Answer

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

ttop0816 · Answer

THANK YOU!!(:

hartnn · Answer

welcome ^_^