OCR C3 2013 June — Question 2

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2013
SessionJune
TopicReciprocal Trig & Identities

2 Using an appropriate identity in each case, find the possible values of
  1. \(\sin \alpha\) given that \(4 \cos 2 \alpha = \sin ^ { 2 } \alpha\),
  2. \(\sec \beta\) given that \(2 \tan ^ { 2 } \beta = 3 + 9 \sec \beta\).