# Hyberbolic functions – Further Pure Maths 2

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