3. Complex Numbers
Polar Form — Quiz
Test your understanding of polar form with 5 practice questions.
Practice Questions
Question 1
Which of the following describes the relationship between the rectangular coordinates $(x, y)$ and the polar coordinates $(r, \theta)$?
Question 2
What is the rectangular form of the complex number $z = 3 \left(\cos \frac{\pi}{2} + i \sin \frac{\pi}{2}\right)$?
Question 3
What is the polar form of the complex number $z = 5$?
Question 4
If a complex number $z$ has a modulus of 2 and an argument of $\pi$, what is its rectangular form?
Question 5
What is the argument $\theta$ of the complex number $z = i$ in the range $0 \le \theta < 2\pi$?