These Further Maths De Moivre's theorem and roots of unity multiple choice questions check your understanding of De Moivre's theorem and roots of unity with 10 questions for pupils aged 16-18. Each question has four answers, and the right one is explained as soon as you choose.
Further Maths De Moivre's theorem and roots of unity multiple choice questions: the 10 questions
\(\left(\cos\tfrac\pi8+i\sin\tfrac\pi8\right)^4=\)
\((1+i)^4=\)
The number of distinct solutions of \(z^5=1\) is:
The solutions of \(z^n=1\) lie:
If \(\omega\) is a complex cube root of unity then \(1+\omega+\omega^2=\)
\(e^{i\pi}=\)
If \(z=\cos\theta+i\sin\theta\) then \(z^3+z^{-3}=\)
Solutions of \(z^3=8\) have argument:
The sum of the 7th roots of unity is:
Which expression equals \(\cos 3\theta\)?
How to use these Further Maths De Moivre's theorem and roots of unity multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the De Moivre's theorem and roots of unity lesson.
Finally, practise more with the De Moivre's theorem and roots of unity worksheet and the quiz. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.


















