In this lesson, we will learn how to identify the cubic roots of unity using de Moivre’s theorem.
Students will be able to
Q1:
Find all the values of π§ for which π§=1ο©.
Q2:
Let π§=πο§οο‘ο½ο’ and π§=πο¨ο±οο‘ο½ο’ be the complex cubic roots of unity.
Evaluate π§ο§ο¨. How does this compare with π§ο¨?
Evaluate π§ο¨ο¨. How does this compare with π§ο§?
Q3:
Evaluate οΉπβπο ο¨ο§οͺ where π is a complex cube root of unity.
Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.