CAIE P1 2024 June — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2024
SessionJune
TopicTrig Equations

3
  1. Show that the equation \(\frac { 7 \tan \theta } { \cos \theta } + 12 = 0\) can be expressed as $$12 \sin ^ { 2 } \theta - 7 \sin \theta - 12 = 0$$
  2. Hence solve the equation \(\frac { 7 \tan \theta } { \cos \theta } + 12 = 0\) for \(0 ^ { \circ } \leqslant \theta \leqslant 360 ^ { \circ }\).