OCR C3 2009 January — Question 3

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2009
SessionJanuary
TopicReciprocal Trig & Identities

3
  1. Express \(2 \tan ^ { 2 } \theta - \frac { 1 } { \cos \theta }\) in terms of \(\sec \theta\).
  2. Hence solve, for \(0 ^ { \circ } < \theta < 360 ^ { \circ }\), the equation $$2 \tan ^ { 2 } \theta - \frac { 1 } { \cos \theta } = 4$$