CAIE P3 2012 June — Question 6

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2012
SessionJune
TopicAddition & Double Angle Formulae

6 The equation of a curve is \(y = 3 \sin x + 4 \cos ^ { 3 } x\).
  1. Find the \(x\)-coordinates of the stationary points of the curve in the interval \(0 < x < \pi\).
  2. Determine the nature of the stationary point in this interval for which \(x\) is least.