CAIE P2 2011 November — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2011
SessionNovember
TopicAddition & Double Angle Formulae
4
  1. Express \(\cos ^ { 2 } x\) in terms of \(\cos 2 x\).
  2. Hence show that $$\int _ { 0 } ^ { \frac { 1 } { 6 } \pi } \left( \cos ^ { 2 } x + \sin 2 x \right) \mathrm { d } x = \frac { 1 } { 8 } \sqrt { } 3 + \frac { 1 } { 12 } \pi + \frac { 1 } { 4 }$$
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