CAIE P2 2010 June — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2010
SessionJune
TopicAddition & Double Angle Formulae
3
  1. Show that the equation \(\tan \left( x + 45 ^ { \circ } \right) = 6 \tan x\) can be written in the form $$6 \tan ^ { 2 } x - 5 \tan x + 1 = 0$$
  2. Hence solve the equation \(\tan \left( x + 45 ^ { \circ } \right) = 6 \tan x\), for \(0 ^ { \circ } < x < 180 ^ { \circ }\).
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