CAIE P2 2004 June — Question 7

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2004
SessionJune
TopicAddition & Double Angle Formulae
7
  1. By expanding \(\cos ( 2 x + x )\), show that $$\cos 3 x \equiv 4 \cos ^ { 3 } x - 3 \cos x$$
  2. Hence, or otherwise, show that $$\int _ { 0 } ^ { \frac { 1 } { 2 } \pi } \cos ^ { 3 } x \mathrm {~d} x = \frac { 2 } { 3 }$$
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