CAIE P2 2017 November — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2017
SessionNovember
TopicChain Rule

3 The equation of a curve is \(y = \tan \frac { 1 } { 2 } x + 3 \sin \frac { 1 } { 2 } x\). The curve has a stationary point \(M\) in the interval \(\pi < x < 2 \pi\). Find the coordinates of \(M\), giving each coordinate correct to 3 significant figures.