OCR FP2 2012 June — Question 3

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
Year2012
SessionJune
TopicHyperbolic functions

3
  1. By quoting results given in the List of Formulae (MF1), prove that \(\tanh 2 x \equiv \frac { 2 \tanh x } { 1 + \tanh ^ { 2 } x }\).
  2. Solve the equation \(5 \tanh 2 x = 1 + 6 \tanh x\), giving your answers in logarithmic form.