A-Level Further Pure Maths 2- Complex Numbers Lesson Booklet + Answers

The resource covers:

• Understand de Moivre’s theorem, for a positive or negative integer exponent, in terms of the geometrical effect of multiplication and division of complex numbers
• Prove de Moivre’s theorem for a positive integer exponent
• Use de Moivre’s theorem for a positive or negative rational exponent
  – to express trigonometrical ratios of multiple angles in terms of powers of trigonometrical ratios of the fundamental angle
  – to express powers of sinθand cos θ in terms of multiple angles
  – in the summation of series
  – in finding and using the nth roots of unity