A Level Further Maths Core Pure Year 2 Chapter 1: Mini test

e^iθ

• sinθ - i cosθ

• sinθ + i cosθ

• cosθ - i sinθ

• cosθ + i sinθ

DeMoivre: (cosθ+isinθ)ⁿ=

• cosⁿθ + i sinⁿθ

• cos nθ + i sin nθ

Use DeMoivre to switch to cos nθ form for ...

• Integration
• Solving equations

Which is false?

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On an Argand diagram, what's the angle between the three roots of unity?

• π/6
• π/3
• π/4
• 2π/3