OCR Pure 1 2017 Specimen — Question 8

Exam BoardOCR
ModulePure 1 (Pure Mathematics 1)
Year2017
SessionSpecimen
TopicAddition & Double Angle Formulae
8
  1. Show that \(\frac { 2 \tan \theta } { 1 + \tan ^ { 2 } \theta } = \sin 2 \theta\).
  2. In this question you must show detailed reasoning. Solve \(\frac { 2 \tan \theta } { 1 + \tan ^ { 2 } \theta } = 3 \cos 2 \theta\) for \(0 \leq \theta \leq \pi\).
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