Ronald Nelson
Abstract
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The main problem of this paper is the study of certain trigonometric and hyperbolic transformations. The functions sin z, cos z, sinh z, and cosh z will be considered. Particular emphasis will be placed upon the images of circles and non-vertical and non-horizontal lines produced by these transformations.
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The main problem of this paper is the study of certain trigonometric and hyperbolic transformations. The functions sin z, cos z, sinh z, and cosh z will be considered. Particular emphasis will be placed upon the images of circles and non-vertical and non-horizontal lines produced by these transformations.
Key concepts: Trigonometry, Hyperbolic function, Trigonometric functions, Mathematics, Proofs of trigonometric identities, Trigonometric substitution, Pure mathematics, Mathematical analysis