Polar form of complex numbers, De Moivre's theorem Quiz
10 questions · easy to harder · Precalculus · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 3 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Write 2(cos 60° + i sin 60°) in rectangular formType the answer.
2 Question 2
Write 4(cos 120° + i sin 120°) in rectangular formType the answer.
3 Question 3
Write 6(cos 330° + i sin 330°) in rectangular formType the answer.
4 Question 4
Simplify (1 + i)8Type the answer.
5 Question 5
Simplify (√3 + i)6- A) 64
- B) −64
- C) 30
- D) 2
6 Question 6
Simplify (−1 + i)4Type the answer.
7 Question 7
Simplify (1 + i√3)3- A) 60
- B) −8
- C) 2
- D) 8
8 Question 8
Simplify (1 − i)6Type the answer.
9 Question 9
Simplify (2 + 2i)4- A) 64
- B) 45
- C) 180
- D) −64
10 Question 10
Simplify (−√3 + i)3Type the answer.