Edexcel FP3 2014 June — Question 4

Exam BoardEdexcel
ModuleFP3 (Further Pure Mathematics 3)
Year2014
SessionJune
TopicHyperbolic functions
  1. Using the definitions of hyperbolic functions in terms of exponentials,
    1. show that
    $$\operatorname { sech } ^ { 2 } x = 1 - \tanh ^ { 2 } x$$
  2. solve the equation $$4 \sinh x - 3 \cosh x = 3$$
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