CAIE P2 2020 November — Question 6

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2020
SessionNovember
TopicAddition & Double Angle Formulae

6 It is given that \(3 \sin 2 \theta = \cos \theta\) where \(\theta\) is an angle such that \(0 ^ { \circ } < \theta < 90 ^ { \circ }\).
  1. Find the exact value of \(\sin \theta\).
  2. Find the exact value of \(\sec \theta\).
  3. Find the exact value of \(\cos 2 \theta\).