CAIE P2 2015 June — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2015
SessionJune
TopicReciprocal Trig & Identities

3 It is given that \(\theta\) is an acute angle measured in degrees such that $$2 \sec ^ { 2 } \theta + 3 \tan \theta = 22$$
  1. Find the value of \(\tan \theta\).
  2. Use an appropriate formula to find the exact value of \(\tan \left( \theta + 135 ^ { \circ } \right)\).