गैस हु इज गिविंग दिस अनाउंसमेंट
Answers
Answer:
The following questions are meant to guide our study of the material in this section. After studying this section, we should understand the concepts motivated by these questions and be able to write precise, coherent answers to these questions.
What is de Moivre’s Theorem and why is it useful?
If n is a positive integer, what is an n th root of a complex number? How many nth roots does a complex number have? How do we find all of the n th roots of a complex number?
The trigonometric form of a complex number provides a relatively quick and easy way to compute products of complex numbers. As a consequence, we will be able to quickly calculate powers of complex numbers, and even roots of complex numbers.
Beginning Activity
Let z=r(cos(θ)+isin(θ)) . Use the trigonometric form of z to show that
z2=r2(cos(2θ)+isin(2θ)))(5.3.1)