In this paper, we introduce a Daehee constant, the so-called q -extension of the Napier constant, and consider the Daehee formula associated with the q -extensions of trigonometric functions. That is, we derive the q -extensions of sine and cosine functions from our Daehee formula. Finally, we present the q -calculus related to the q -extensions of sine and cosine functions.
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Tae-hyung Kim (2007) studied this question.
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