CAIE P1 2010 June — Question 1

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2010
SessionJune
TopicTrig Equations

1
  1. Show that the equation $$3 ( 2 \sin x - \cos x ) = 2 ( \sin x - 3 \cos x )$$ can be written in the form \(\tan x = - \frac { 3 } { 4 }\).
  2. Solve the equation \(3 ( 2 \sin x - \cos x ) = 2 ( \sin x - 3 \cos x )\), for \(0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }\).