AQA C4 2006 January — Question 6

Exam BoardAQA
ModuleC4 (Core Mathematics 4)
Year2006
SessionJanuary
TopicAddition & Double Angle Formulae
6
  1. Express \(\cos 2 x\) in the form \(a \cos ^ { 2 } x + b\), where \(a\) and \(b\) are constants.
  2. Hence show that \(\int _ { 0 } ^ { \frac { \pi } { 2 } } \cos ^ { 2 } x \mathrm {~d} x = \frac { \pi } { a }\), where \(a\) is an integer.
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