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Hyperbolic functions formulae

The 2 results the hyperbolic functions notes display, each with the conditions it needs to be true and a link to the lesson that states it. Of the 2, the formulae booklet prints 1 and 1 is yours to memorise.

Further Maths · 2 lessons with formulae.

A result the Edexcel formulae booklet prints is marked as such; one it does not print is marked to learn; and a result badged derived in the lesson is a working line the notes build in front of you rather than a standard result to memorise.

2 lessons

Hyperbolic functions and identities

\text{cosh } x = \frac{e^{x} + e^{-x}}{2}, \text{sinh } x = \frac{e^{x} - e^{-x}}{2}

NOT IN THE BOOKLET: LEARN ITConditionsDefinitions rather than results, so they hold for every real x.

Calculus with hyperbolic functions

\text{∫} \frac{1}{\sqrt{x^{2} + a^{2}}} \, dx = \text{arsinh}\frac{x}{a} + c

IN THE FORMULAE BOOKLETConditionsa > 0.

Every formula in the library is indexed by unit on the equation index, and the hyperbolic functions notes are where these results are derived and used. The one the booklet does not print is on the list of every formula to memorise, alongside the rest of the course.

Also: Further calculus formulae · Polar coordinates formulae