CAIE P2 2012 November — Question 8

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2012
SessionNovember
TopicAddition & Double Angle Formulae
8
  1. Given that \(\tan A = t\) and \(\tan ( A + B ) = 4\), find \(\tan B\) in terms of \(t\).
  2. Solve the equation $$2 \tan \left( 45 ^ { \circ } - x \right) = 3 \tan x$$ giving all solutions in the interval \(0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }\).
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