In this post, with the help of A-Student, I have proved the two trigonometrical formulae of Euler. In this thread, I will prove 2 more general formlae found in his paper "Subsidium Calculi Sinuum" (Contribution to the calculation of sine) by Euler.
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My recent excursion to the general formula for the power series of trigonometric and hyperbolic $\cot(x)$ and $\coth(x)$ leads me further t...
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Dividing power series is a a powerful method to obtain new series from known ones. In this thread, I will show some simple examples of divid...
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