SOLUTION: If z = 2cis30°, express z^6 in RECTANGULAR FORM

Algebra ->  Trigonometry-basics -> SOLUTION: If z = 2cis30°, express z^6 in RECTANGULAR FORM      Log On


   

Question 1036058: If z = 2cis30°, express z^6 in RECTANGULAR FORM
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!

z = 2cis30°

z6 = (2cis30°)6

z6 = 26cis(6∙30°)

z6 = 64cis(180°)

z6 = 64(cos180° + i∙sin180°)

z6 = 64(-1 + i∙0)

z6 = -64

Edwin