Thursday, May 9, 2013

Simplify a complex number raised to a power


Simplify:
+%28sqrt+%282%29+%2B+sqrt+%282%29+i+%29%5E3+
The answer should be in the form of +r%5En+%28cos+n%28theta%29+%2B+i+sin+n%28theta%29%29+

Your Answer:
%0D%0Ar%5E3=%28sqrt%28sqrt%282%29%5E2%2Bsqrt%282%29%5E2%29%29%5E3=8%0D%0A


%0D%0A3%2Atheta=3%2Aarctan%281%2F1%29=3%2A%28pi%2F4%29%0D%0A

%0D%0A8%28cos%28%283pi%29%2F4%29%2Bi+sin%28%283pi%29%2F4%29%29%0D%0A
Posted by at
Labels: , ,

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)