Proceedings of the Edinburgh Mathematical Society

Table of Contents - Volume 22

Research Article

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

D. K. Picken

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

S0013091500001899_eqn1

θ being put equal to S0013091500001899_inline1 and n made infinitely great.

Notes

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