IGNOU MTE 4 2018 - Apply De Moivre’s theorem to write (sqrt(3 + 1)5 in the form a +

Question

Apply De Moivre’s theorem to write (sqrt(3 + 1)5 in the form a + ib , with a, b ∈ R

02 Feb 2018

Answer :

Word Count : 305

To apply De Moivre’s theorem to express \((\sqrt{3} + i)^{5}\) in the form \(a + bi\), we first need to rewrite \(\sqrt{3} + i\) in polar form. ### Step 1: Express \(\sqrt{3} + i\) in polar form The complex number \(z = \sqrt{3} + i\) can be written in polar form as: \[ z = r(\cos \theta + i \sin \theta) \] Where: - \(r\) is the modulus of the complex number, and

________ _____ ____ _______ ______ ____.
_________ ________ ______ ______ ______ _______ ______.
________ ________ ___ ________ _______ ____ _____ _______ ________ ___ __________ _____.
__________ ________ _________ ___ _________ _______ _________ _____ ___ __________ ______.
________ ______ ________ ____ _________.
__________ __________ __________ _____ ______.
______ __________ ____ __________ ________ _________.
_______ ________ _________ __________ ______ ________.
____ ________ __________ _____ ______ ________ _______ ________ _____ _______ _______.
_______ ___ ____ ______ _________ __________.
__________ _________ ____ _____ _____ ______ ______ _______ ___.
_______ _____ _______ ___ __________ _______ ________ _______ ___ _________ ____.
__________ ___ ___ _______ _________ _______.
________ __________ _____ _______ _______ ___ _______ ___ _____ ________ ________.
_______ _____ _____ ____ ________ _____ ____ _____ __________ ____ ______ __________.
_________ _________ ___ _______ ______ ______ _______ ________ ______ ______.
______ ____ __________ ____ ____ ________ _______ _____ __________ _________ ______ ____.
______ ______ __________ __________ ____.
____ _________ _____ _________ ______ ___ ____ _____ ________.
_______ ________ _______ ________ _____ _____ ______ ______ _______ ______.
__________ ______ ______ ____ _______ ___ __________ ______ ______ ________ ________.
________ ____ _________ _____ ______ ______ _______ __________ ________ __________ ________ __________.
____ ___ _______ _________ __________ _______ ___ ___ _______ _______ ____ ___.
_________ ___ _________ _____ __________ _____.
________ ____ ________ ________ __________ ______.
________ __________ _____ _____ __________ __________ ____ ____.
_______ __________ _____ ______ ______ ________ _____.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers