AQA Paper 1 2024 June — Question 9 5 marks

Exam BoardAQA
ModulePaper 1 (Paper 1)
Year2024
SessionJune
Marks5
TopicSmall angle approximation

9
  1. Show that, for small values of \(\theta\) measured in radians $$\cos 4 \theta + 2 \sin 3 \theta - \tan 2 \theta \approx A + B \theta + C \theta ^ { 2 }$$ where \(A , B\) and \(C\) are constants to be found.
    [0pt] [3 marks]
    9
  2. Use your answer to part (a) to find an approximation for $$\cos 0.28 + 2 \sin 0.21 - \tan 0.14$$ Give your answer to three decimal places.
    [0pt] [2 marks]