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Vaninsky, Alexander – International Journal of Mathematical Education in Science and Technology, 2011
This article introduces a trigonometric field (TF) that extends the field of real numbers by adding two new elements: sin and cos--satisfying an axiom sin[superscript 2] + cos[superscript 2] = 1. It is shown that by assigning meaningful names to particular elements of the field, all known trigonometric identities may be introduced and proved. Two…
Descriptors: Trigonometry, Mathematics Instruction, Algebra, Mathematical Applications