CAIE P3 2017 November — Question 4

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2017
SessionNovember
TopicProduct & Quotient Rules

4 The curve with equation \(y = \frac { 2 - \sin x } { \cos x }\) has one stationary point in the interval \(- \frac { 1 } { 2 } \pi < x < \frac { 1 } { 2 } \pi\).
  1. Find the exact coordinates of this point.
  2. Determine whether this point is a maximum or a minimum point.