CAIE P2 2009 November — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2009
SessionNovember
TopicAddition & Double Angle Formulae

4
  1. Show that the equation \(\sin \left( 60 ^ { \circ } - x \right) = 2 \sin x\) can be written in the form \(\tan x = k\), where \(k\) is a constant.
  2. Hence solve the equation \(\sin \left( 60 ^ { \circ } - x \right) = 2 \sin x\), for \(0 ^ { \circ } < x < 360 ^ { \circ }\).