CAIE P1 2016 March — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2016
SessionMarch
TopicReciprocal Trig & Identities

4
  1. Solve the equation \(\sin ^ { - 1 } ( 3 x ) = - \frac { 1 } { 3 } \pi\), giving the solution in an exact form.
  2. Solve, by factorising, the equation \(2 \cos \theta \sin \theta - 2 \cos \theta - \sin \theta + 1 = 0\) for \(0 \leqslant \theta \leqslant \pi\).