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What is the result of (cos (π/4)+ I sin (π /4))4 using de moiré’s theorem?
-1
0
i
De Moivre's Theorem is most commonly used when dealing with complex numbers in which form?
Cartesian form
Polar form
rectangular form
De Moivre's Theorem is a mathematical tool used to manipulate:
Real numbers
Complex numbers
Matrices
In De Moivre's Theorem, what does the integer "n" represent?
The real part of the complex number
The imaginary part of the complex number
The exponent to which the complex number is raised
What is the De Moivre's Theorem formula for raising a complex number z to a positive integer n?
zn=rn (cos(nθ) + i sin(nθ))
zn=r (cos(nθ) + i sin(θ))n
zn=r (cos(nθ) + i sin(θ)n)
De Moivre’s theorem can be used to simplify expression involving?
Polynomial function
trigonometric function
logarithmic function
When using De Moivre's Theorem, what does "r" represent in the formula?
The magnitude of the complex number
De Moivre's Theorem is a powerful tool in which field of mathematics?
Number theory
Calculus
Complex analysis
For what kind of power of complex number, we use de Moivre’s theorem?
Real power
imaginary power
positive integer power
De Moivre's Theorem is particularly useful in finding what property of a complex number raised to a power?
Its real part
Its imaginary part
Its magnitude
It is done.