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The proof of trigonometric formula for the sum and difference of the two angles by Ptolemy's theorem
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(1) · pp. 98–100
Abstract
The trigonometric formula for the sum and difference of two angles is an important set of formulas in senior high school mathematics. Based on the proof of the sine formula of two angles provided by former researchers, we gave the proofs of they other three formulas with the Ptolemy's theorem. These proof contributed to the teaching and learning of senior high school mathematics teachers and students.
History and Theory of MathematicsMathematical proofTrigonometryMathematicsPtolemy's table of chordsSet (abstract data type)Proofs of trigonometric identitiesTrigonometric functionsComputer-assisted proofSineCalculus (dental)
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