AQA C4 2007 January — Question 7

Exam BoardAQA
ModuleC4 (Core Mathematics 4)
Year2007
SessionJanuary
TopicAddition & Double Angle Formulae
7
  1. Use the identity $$\tan ( A + B ) = \frac { \tan A + \tan B } { 1 - \tan A \tan B }$$ to express \(\tan 2 x\) in terms of \(\tan x\).
  2. Show that $$2 - 2 \tan x - \frac { 2 \tan x } { \tan 2 x } = ( 1 - \tan x ) ^ { 2 }$$ for all values of \(x , \tan 2 x \neq 0\).
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