Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-24T13:59:09.246Z Has data issue: false hasContentIssue false

On the Fractional Infinite Series for cosecx, secx, cotx, and tanx

Published online by Cambridge University Press:  20 January 2009

Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The infinite products for sinx and cosx are most conveniently obtained in a rigorous way from the well-known factorial expressions for sinnθ and cosnθ which, when n is an even integer, take the forms

θ being put equal to and n made infinitely great.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1903

References

* Cf. Hobson's Trigonometry, Chap. XVII.