CAIE P2 2017 March — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2017
SessionMarch
TopicReciprocal Trig & Identities

2
  1. Given that \(\tan 2 \theta \cot \theta = 8\), show that \(\tan ^ { 2 } \theta = \frac { 3 } { 4 }\).
  2. Hence solve the equation \(\tan 2 \theta \cot \theta = 8\) for \(0 ^ { \circ } < \theta < 180 ^ { \circ }\).