AQA C4 2008 June — Question 3

Exam BoardAQA
ModuleC4 (Core Mathematics 4)
Year2008
SessionJune
TopicAddition & Double Angle Formulae
3
  1. By writing \(\sin 3 x\) as \(\sin ( x + 2 x )\), show that \(\sin 3 x = 3 \sin x - 4 \sin ^ { 3 } x\) for all values of \(x\).
  2. Hence, or otherwise, find \(\int \sin ^ { 3 } x \mathrm {~d} x\).
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