Worksheets — Set 2

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

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

Warm-up

1. (6 + 2i) + (4 − 5i) = ___ 2. (5i)(−1i) = ___ 3. Plot 5 − 4i on the complex plane. ___

_See printable PDF for diagram._

Written practice

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

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More written practice

1. Plot 7 − 4i on the complex plane. ___ 2. Multiply: (6 + i)(6 − i) = ___ 3. Solve x² + 9 = 0 in ℂ: x = ___ 4. (11 + 2i) + (9 − 5i) = ___ 5. (10i)(−3i) = ___ 6. Plot 10 − 3i on the complex plane. ___

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Patterns and rules

1. (22 + 2i) + (20 − 5i) = ___ 2. (21i)(−2i) = ___ 3. Plot 21 − 4i on the complex plane. ___

_See printable PDF for diagram._

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