SOLUTION: Simplify the following and give answers in the form a+bi. (3 cos(pi/8) + 3i sin(pi/8))^4

SOLUTION: Simplify the following and give answers in the form a+bi. (3 cos(pi/8) + 3i sin(pi/8))^4

Algebra.Com

Question 220632: Simplify the following and give answers in the form a+bi.
(3 cos(pi/8) + 3i sin(pi/8))^4
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(3 cos(pi/8) + 3i sin(pi/8))^4
z = (3 cos(pi/8) + 3i sin(pi/8)) = 3cis(pi/8)
z^4 = 81cis(pi/2)
= 81cos(pi/2) + 81isin(pi/2)
= 81i

RELATED QUESTIONS
Simplify each of the following by hand. Show your working and give the answers in the... (answered by tommyt3rd)

express in the form a+bi, where a and b are real numbers. 7(cos pi+ i sin... (answered by Fombitz)

Please help me simplify the two following equations and put the answer into a+bi form: (answered by Alan3354)

Express in the form a+bi, where a and b are real numbers. 4(cos(pi/4) +... (answered by ewatrrr)

Are all the answers correct ?? Is the work for problem and the answers expressed... (answered by josmiceli)

Let Z1=8(cos 2pi/3 + i sin 2pi/3) and Z2= 0.5(cos pi/3 + i sin pi/3) Write the... (answered by robertb)

Express the complex number 12|cos(pi/3)+isin(pi/3)| in the form of a+bi without... (answered by jim_thompson5910)

Simplify the following expressions as much as possible.... (answered by jim_thompson5910)

Perform the indicated operation 7. (4-2i)(8+4i) Simplify and write in a+bi form... (answered by lwsshak3)