AQA C2 2012 June — Question 7

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2012
SessionJune
TopicTrig Equations

7 It is given that \(( \tan \theta + 1 ) \left( \sin ^ { 2 } \theta - 3 \cos ^ { 2 } \theta \right) = 0\).
  1. Find the possible values of \(\tan \theta\).
  2. Hence solve the equation \(( \tan \theta + 1 ) \left( \sin ^ { 2 } \theta - 3 \cos ^ { 2 } \theta \right) = 0\), giving all solutions for \(\theta\), in degrees, in the interval \(0 ^ { \circ } \leqslant \theta \leqslant 180 ^ { \circ }\).