de Moivre's Theorem (Edexcel A-Level Further Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
de Moivre's Theorem
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What two mathematical areas does de Moivre's Theorem link?

Trigonometry and complex numbers

In de Moivre's Theorem, if z=r(cos⁡θ+isin⁡θ)z = r(\cos \theta + i \sin \theta), what is znz^n?

rn(cos⁡(nθ)+isin⁡(nθ))r^n(\cos(n\theta) + i \sin(n\theta))

When using de Moivre's Theorem to find znz^n, what do you do to the modulus rr?

Raise rr to the power nn

When applying de Moivre's Theorem to find znz^n, what happens to the argument θ\theta?

Multiply θ\theta by nn

What is the modulus of 1+i1 + i?

2\sqrt{2}

Using de Moivre's Theorem, what is (1+i)5(1 + i)^5?

−8−8i-8 - 8i

How many distinct nnth roots does a complex number have?

nn distinct roots

When finding nnth roots using de Moivre's Theorem, what values does kk take?

k=0,1,2,…,n−1k = 0, 1, 2, \ldots, n-1

Which of the following is one of the cube roots of 88?

−1+i3-1 + i\sqrt{3}

When finding the cube roots of 88, what is the modulus of each root?

22

Explore Edexcel A-Level Further Mathematics Revision Notes by Topics

Complex Numbers & Argand Diagrams

Exponential Form & de Moivre's Theorem

Explore Edexcel A-Level Further Mathematics Model Answers by Topics

Complex Numbers & Argand Diagrams

Exponential Form & de Moivre's Theorem

Explore Edexcel A-Level Further Mathematics Flashcards by Topics

Complex Numbers & Argand Diagrams

Exponential Form & de Moivre's Theorem

Explore Edexcel A-Level Further Mathematics Exam Questions by Topics

Complex Numbers & Argand Diagrams

Exponential Form & de Moivre's Theorem

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.