CAIE P1 2005 June — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2005
SessionJune
TopicTrig Equations

3
  1. Show that the equation \(\sin \theta + \cos \theta = 2 ( \sin \theta - \cos \theta )\) can be expressed as \(\tan \theta = 3\).
  2. Hence solve the equation \(\sin \theta + \cos \theta = 2 ( \sin \theta - \cos \theta )\), for \(0 ^ { \circ } \leqslant \theta \leqslant 360 ^ { \circ }\).