STATEMENT OF
DEMOIVRE THEORAM
Answers
Answer:
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Step-by-step explanation:
In mathematics, de Moivre's formula states that for any real number x and integer n it holds that where i is the imaginary unit. The formula is named after Abraham de Moivre, although he never stated it in his works. The expression cos(x) + i sin(x) is sometimes abbreviated to cis(x).
complex number is made up of both real and imaginary components. It can be represented by an expression of the form (a+bi), where a and b are real numbers and i is imaginary. When defining i we say that i = √(-1). Along with being able to be represented as a point (a,b) on a graph, a complex number z = a+bi can also be represented in polar form as written below:
z = r (cos θ + i sinθ)
where r = [z] = √(a2 + b2)
and
θ = tan-1(b/a) or θ = arctan(b/a)
and we also have: a = r cosθ and b = r sinθ
hope it's help you...