Exercises: Represent Operations Geometrically on the Complex Plane

Show your work. Use exact values where possible. For polar form, express angles in degrees.

Grade 9·22 problems·~40 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-b-5

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Warm-Up: Review What You Know

The complex number $z = 1 + i$ has modulus $\sqrt{2}$ and argument $45°$. What is its polar form?

$2(\cos 45° + i\sin 45°)$

$\sqrt{2}(\cos 45° + i\sin 45°)$

$\sqrt{2}(\cos 90° + i\sin 90°)$

$1(\cos 45° + i\sin 45°)$