OCR C3 2012 June — Question 3

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2012
SessionJune
TopicAddition & Double Angle Formulae

3 It is given that \(\theta\) is the acute angle such that \(\sec \theta \sin \theta = 36 \cot \theta\).
  1. Show that \(\tan \theta = 6\).
  2. Hence, using an appropriate formula in each case, find the exact value of
    (a) \(\tan \left( \theta - 45 ^ { \circ } \right)\),
    (b) \(\quad \tan 2 \theta\).