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WHAT IS DEMOIVERS THEOREM FOR INTEGRATION ?

vishal mishra , 13 Years ago
Grade 12
anser 1 Answers
Aabid Hussain

Last Activity: 7 Years ago

Hi,

In the last section, we looked at the polar form of complex numbers and proved a beautiful theorem regarding them. In this section, we prove another beautiful result, known as De Moivre's Theorem, which allows us to easily compute powers and roots of complex numbers given in polar form. We will also apply this theorem to many examples.
De Moivre's Theorem:
For every real number θ and every positive integer n, we have

(6.6.2)(cos θ + i sin θ)n= cos nθ + i sin nθ.

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