CAIE P3 2010 June — Question 7

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2010
SessionJune
TopicAddition & Double Angle Formulae
7
  1. Prove the identity \(\cos 3 \theta \equiv 4 \cos ^ { 3 } \theta - 3 \cos \theta\).
  2. Using this result, find the exact value of $$\int _ { \frac { 1 } { 3 } \pi } ^ { \frac { 1 } { 2 } \pi } \cos ^ { 3 } \theta \mathrm {~d} \theta$$
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