A-Level MathematicsYear 2022Q12
page 06 MARKS 12. Let cos sin z θ i θ . (a) Use de Moivre’s theorem to state an expression for 4z . (b) State and simplify the binomial expansion of cos sin 4 θ i θ . (c) Hence show that: (i) cos cos cos 4 2 4 8 8 1 θ θ θ . (ii) sin cot 4 θ θ can be written in terms of cosθ only. 1 3 2 2
Paper Source:NAH_Mathematics_Paper2_2022.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)