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The Mathematics Teacher, 1958
Herein is presented a definition of trigonometric functions not usually found in elementary texts. Continuing in the same unusual way, properties of these functions are derived in a manner simple enough to use in an early calculus course.
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Herein is presented a definition of trigonometric functions not usually found in elementary texts. Continuing in the same unusual way, properties of these functions are derived in a manner simple enough to use in an early calculus course.
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Trigonometric Functional Equations
2009In this chapter, trigonometric functional equations are studied on reals, groups, Hilbert space, etc., and cosine equations on reals, non-Abelian groups, and Hilbert space are studied. Sine equations, analytic solutions, addition and subtraction formulas, operator values, and some generalizations are studied also, and counterexamples are provided.
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