Hyperbolic functions and their graphsAQA A-Level Further Maths: Mind map

Exam questions on Hyperbolic functions and their graphs

1. Let $x=\ln3$.
   Find the exact value of $\tanh x$.2 marks
2. Consider the graphs of $y=\cosh x$ and $y=\tanh x$ for all real $x$.
   Describe the symmetry of each of the two graphs.2 marks
3. The function $f$ is defined for all real $x$ by $f(x)=2\cosh x+3\sinh x$.
   Express $f(x)$ in the form $Ae^x+Be^{-x}$, where $A$ and $B$ are constants.3 marks