CAIE P1 2023 March — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2023
SessionMarch
TopicTrig Equations

7
  1. By first obtaining a quadratic equation in \(\cos \theta\), solve the equation $$\tan \theta \sin \theta = 1$$ for \(0 ^ { \circ } < \theta < 360 ^ { \circ }\).
  2. Show that \(\frac { \tan \theta } { \sin \theta } - \frac { \sin \theta } { \tan \theta } \equiv \tan \theta \sin \theta\).