De Moivre’s Theorem Assignment Help
In mathematics, the concept of mathematical Induction is popular and widely used. Mathematical induction can be used to prove an important theorem and that is De Moivre’s Theorem. If there is a complex number z=r (cos X +isin X) n then r (cos X+isin X) n can be extended using mathematical induction to the De Moivre’s theorem. The theorem states that the expression r (cos X+isin X) n can be written as r (cos nX+isin nX) where n is an integer, X is a measure of angles in radians and i represents an imaginary unit with i2=-1. The formula is important as it connects complex numbers with trigonometry. In this regard, it should be noted that the formulae are not valid for non-integers value of n. The De Moivre’s Theorem assignment help is sought after by students pursuing mathematics at the higher academic level. If you are a student of Mathematics and are unsure about writing academic assignments then you can surely seek the professional maths assignment services of acclaimed assignment providers. Custom writing service like BookMyEssay offers high-quality, comprehensive, unique and error-free De Moivre’s Theorem Assignment write-ups. Visit the business website of BookMyEssay, check the services available in the portal, also check the sample assignment write-ups (sample academic reports, essays, dissertations, case studies) and if BookMyEssay’s writing style satisfies you then contact us to avail our premium services.
De Moivre’s Theorem
In mathematics, there are numerous mathematical theorems and concepts. The principle of mathematical induction is a significant one. According to this principle, for a given expression whose value depends on a dominant variable, if the dominant variable assumes value of n=0 and for that value if the expression holds true, if the dominant variable assumes value of n=1 and for that value if the expression holds true then it is assumed that the expression holds true for other values of the dominant variable (principle of mathematical induction). The mathematical induction principle is used to prove De Moivre’s theorem.
If there is a complex number z=r (cos X +isin X) n then r (cos X+isin X) n can be extended using mathematical induction to the De Moivre’s theorem. According to the theorem, the expression r (cos X+isin X) n can be written as r (cos nX+isin nX) where n is an integer, X is a measure of angles in radians and i represents an imaginary unit with i2=-1. The formula is important as it connects complex numbers with trigonometry. In this regard, it should be noted that the formulae are not valid for all the non-integers value of n.
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