What you need to know
Check yourself against these “I can” statements.
- I can define sinh, cosh and tanh using exponentials
- I can sketch the graphs of the hyperbolic functions
- I can use the inverse hyperbolic functions, including writing them as logarithms
- I can prove identities and solve equations with hyperbolic functions
- I can differentiate and integrate hyperbolic functions
Practise this topic
2 resources🧮 Tool
Formula Sheet
Make a printable formula sheet: tick the shapes you want (2D area, perimeter and arc length, volume, surface area, and sector, arc and segment in radians), the eight circle theorems with diagrams, the GCSE formulae sheet…
🧩 ConnectionsHyperbolics & Further Calculus
Hyperbolic functions and their inverses at logarithmic arguments, inverse trig values, standard integrals and (on Hard) Maclaurin coefficients, grouped by exact value.
These are the pages for Hyperbolic functions in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.