Candidates should be able to:
- understand the definitions of the hyperbolic functions sinh x, cosh x, tanh x, sech x, cosech x, coth x in terms of the exponential function
- sketch the graphs of hyperbolic functions
- prove and use identities involving hyperbolic functions (e.g. \(cosh^2\) x – \(sinh^2\) x \(\equiv\) 1, sinh 2x \(\equiv\) 2sinh x cosh x, and similar results corresponding to the standard trigonometric identities.)
- understand and use the definitions of the inverse hyperbolic functions and derive and use the logarithmic forms.
Hyberbolic functions – Further Pure Maths 2 Video
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