OCR C3 2011 June — Question 3

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2011
SessionJune
TopicAddition & Double Angle Formulae
3
  1. Given that \(7 \sin 2 \alpha = 3 \sin \alpha\), where \(0 ^ { \circ } < \alpha < 90 ^ { \circ }\), find the exact value of \(\cos \alpha\).
  2. Given that \(3 \cos 2 \beta + 19 \cos \beta + 13 = 0\), where \(90 ^ { \circ } < \beta < 180 ^ { \circ }\), find the exact value of \(\sec \beta\).
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