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2026/108/3-4 (12) — DOI: 10.5486/PMD.2026.10394 — pp. 499-511

On alienation of the sine and cosine addition formulas on semigroups

Authors: Bruce Ebanks Orcid.org link for Bruce Ebanks

Abstract:

We answer two alienation questions involving the cosine and sine addition formulas on a semigroup. The findings in both cases reveal a large degree of dependence between these two functional equations.

Keywords: alienation, sine addition law, cosine addition law, semigroups

Mathematics Subject Classification: 39B52, 39B82, 39B32