CAIE P3 2007 November — Question 5

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2007
SessionNovember
TopicAddition & Double Angle Formulae
5
  1. Show that the equation $$\tan \left( 45 ^ { \circ } + x \right) - \tan x = 2$$ can be written in the form $$\tan ^ { 2 } x + 2 \tan x - 1 = 0$$
  2. Hence solve the equation $$\tan \left( 45 ^ { \circ } + x \right) - \tan x = 2$$ giving all solutions in the interval \(0 ^ { \circ } \leqslant x \leqslant 180 ^ { \circ }\).
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