Back to Represent complex numbers on the complex plane — Problem 3 · Task Set 10

Exercises: Represent Complex Numbers on the Complex Plane

Show your work. For polar form, use exact values where possible (e.g., $\cos 60° = \frac{1}{2}$).

Grade 9·20 problems·~35 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-b-4

Work through problems with immediate feedback

Warm-Up: Review What You Know

Two different-looking expressions can represent the same complex number, just as $\frac{1}{2}$ and $0.5$ represent the same real number. Which pair of expressions represents the same complex number?

$1 + i$ and $2(\cos 45° + i \sin 45°)$

$\sqrt{2}(\cos 45° + i \sin 45°)$ and $1 + i$

$3 + 4i$ and $5(\cos 90° + i \sin 90°)$

$1 + i$ and $\sqrt{2}(\cos 30° + i \sin 30°)$