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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Answer:
y=12
x=48
Step-by-step explanation:
Relationship shows that
y=1/4x
if we put y=12 and x=48 it holds.
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A. The two listed added up will be 180 degrees.
5x - 57 + 3x + 5 = 180
8x - 52 = 180
8x - 52 + 52 = 180 + 52
8x = 232
x = 29
B. The two listed added up will be 180 degrees.
2x + 4x + 150 = 180
6x + 150 = 180
6x + 150 - 150 = 180 - 150
6x = 30
x= 5
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