Trigonometry: A Very Short Introduction by Glen van Brummelen

Author:Glen van Brummelen [Brummelen, Glen van]
Language: eng
Format: epub
ISBN: 0198814313
Google: OPDGDwAAQBAJ
Amazon: 0198814313
Publisher: Oxford University Press
Published: 2020-01-23T00:00:00+00:00

as well as similar formulas for the other functions; for instance,

It will come, then, as no surprise that there are also sum and difference laws for the tangent and other functions. For instance:

Many of these identities are very symmetric:

The list is endless; for any combination of functions, sums, and differences that you care to choose, there is likely an identity for it.

We have been avoiding any talk of identities for inverse trigonometric functions, partly because there aren’t many of them. Several that involve the inverse tangent have surprising applications. However, since they arise naturally in Chapter 5, we shall keep you in suspense until then.

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