CAIE P1 2016 November — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2016
SessionNovember
TopicAddition & Double Angle Formulae

2
  1. Express the equation \(\sin 2 x + 3 \cos 2 x = 3 ( \sin 2 x - \cos 2 x )\) in the form \(\tan 2 x = k\), where \(k\) is a constant.
  2. Hence solve the equation for \(- 90 ^ { \circ } \leqslant x \leqslant 90 ^ { \circ }\).