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.
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Just use distance formula for each point and plug it in p=a+b+c
Salut. BC²=AC²-AB² , BC=√((10)²-(8)²) , BC=√(100-64) , BC=√36 , BC=6cm. J'espere t,avoir aidé
87 dollars hope this helps I can’t really show you how to do it though because I think it will over complicate the problem but
Answer:
18
Review the factors of 324 to get the square root which is 18
