Paper 1 · Complex Numbers
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Lesson 13 of 17
Complex Numbers 13 – Converting to polar form and applying De Moivres theorem
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- Evaluate (a + bi)ⁿ by converting to polar form, applying De Moivre, then back to a + bi
- Quadrant-adjust the argument correctly before raising to powers like (−√3 + i)⁷
- Reduce oversized angles such as 35π/6 (mod 2π) before evaluating cos and sin
- Verify small-power answers with a quick binomial expansion
Most recent exam questions
- 2024 P1 Q2(b)
- 2022 P1 Q1(b) — deferred
- 2022 P1 Q3(b)
- 2020 P1 Q2(b)(ii)
- 2018 P1 Q4(b)
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