The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
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The correct answer might be A
Answer:
33 ounces
Step-by-step explanation:
Just multiply. If one weights 3 ounces 11x3=33
For this example all you have to do is subtract -4/5 from both side
So the answer is 51/5=x
4/3 * pi * r^3
4/3 * 3.14 * 10^3
4/3 * 3.14 * 1000
4/3 * 3140 = 4186.66 rounds to 4187 in^3
