Is it an inverse function
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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Answer:
In the current model, the number of electrons in the atom is determined by gamma and x-ray spectroscopy. The number of protons in the atom is chosen to balance the charge of the electrons in the atom. The number of neutrons in the atom is chosen to give the correct atomic weight for the element in question.
Step-by-step explanation:
A penny is about 1/16 inch thick. So it would be 16 pennies.
Answer:
she can fill 42 6-ounce glasses with the punch mixture
Step-by-step explanation:
1 cup = 8 ounces
15 cups = 120 ounces
132+120 = 252 ounces of punch mixture
252/6 = 42
42 glasses (each glass 6 ounces)
