CAIE P2 2011 November — Question 8

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2011
SessionNovember
TopicAddition & Double Angle Formulae
8
  1. By first expanding \(\cos ( 2 x + x )\), show that $$\cos 3 x \equiv 4 \cos ^ { 3 } x - 3 \cos x$$
  2. Hence show that $$\int _ { 0 } ^ { \frac { 1 } { 6 } \pi } \left( 2 \cos ^ { 3 } x - \cos x \right) d x = \frac { 5 } { 12 }$$
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