SOLUTION: Express the complex number 12|cos(pi/3)+isin(pi/3)| in the form of a+bi without trigonometric functions.

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Question 74789: Express the complex number 12|cos(pi/3)+isin(pi/3)| in the form of a+bi without trigonometric functions.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
12cos%28pi%2F3%29%2Bi%2A12sin%28pi%2F3%29%29Distribute the 12
12cos%28pi%2F3%29%2Bi%2A12sin%28pi%2F3%29%29Evaluate cos%28pi%2F3%29and sin%28pi%2F3%29
12%281%2F2%29%2Bi%2A12%2A%28sqrt%283%29%2F2%29
6%2Bi%2A6%2A%28sqrt%283%29%29
So 12cos%28pi%2F3%29%2Bi%2A12sin%28pi%2F3%29%29 becomes
6%2B6%2Asqrt%283%29i
Which is in a%2Bbi form where a=6 and b=6sqrt%283%29