CAIE P2 2007 November — Question 7

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2007
SessionNovember
TopicAddition & Double Angle Formulae
  1. Prove the identity $$( \cos x + 3 \sin x ) ^ { 2 } \equiv 5 - 4 \cos 2 x + 3 \sin 2 x$$
  2. Using the identity, or otherwise, find the exact value of $$\int _ { 0 } ^ { \frac { 1 } { 4 } \pi } ( \cos x + 3 \sin x ) ^ { 2 } d x$$
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