OCR C3 2005 June — Question 7

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2005
SessionJune
TopicReciprocal Trig & Identities
7
  1. Write down the formula for \(\cos 2 x\) in terms of \(\cos x\).
  2. Prove the identity \(\frac { 4 \cos 2 x } { 1 + \cos 2 x } \equiv 4 - 2 \sec ^ { 2 } x\).
  3. Solve, for \(0 < x < 2 \pi\), the equation \(\frac { 4 \cos 2 x } { 1 + \cos 2 x } = 3 \tan x - 7\).
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