Worksheets — Set 1

Trigonometry · Honors · Polar coordinates and complex numbers (intro)

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. (5 + 2i) + (3 − 5i) = ___ 2. (4i)(−3i) = ___ 3. Plot 4 − 3i on the complex plane. ___

_See printable PDF for diagram._

Written practice

1. (4 + 2i) + (2 − 5i) = ___ 2. (3i)(−2i) = ___ 3. Plot 3 − 4i on the complex plane. ___ 4. Multiply: (2 + i)(2 − i) = ___ 5. Solve x² + 5 = 0 in ℂ: x = ___ 6. Real part ___ , imaginary part ___ 7. (7 + 2i) + (5 − 5i) = ___ 8. (6i)(−2i) = ___

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More written practice

1. Plot 6 − 3i on the complex plane. ___ 2. Multiply: (5 + i)(5 − i) = ___ 3. Solve x² + 8 = 0 in ℂ: x = ___ 4. (10 + 2i) + (8 − 5i) = ___ 5. (9i)(−2i) = ___ 6. Plot 9 − 4i on the complex plane. ___

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Patterns and rules

1. (21 + 2i) + (19 − 5i) = ___ 2. (20i)(−1i) = ___ 3. Plot 20 − 3i on the complex plane. ___

_See printable PDF for diagram._

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Parent tip: Combine like terms: real with real, imaginary with imaginary