Here are the sin, cos, sinh and cosh formulas.
Observe how alternate negation changes hyperbolic to trigonometric functions. I guess the movie "Anantaram" by Adoor Gopalakrishnan is somewhat about this. Not this formula. But Madhava of Sangamagrama 's. You look at one way the main character of the movie is empathized. Look another way the family is. And in the end the flashback of the young kid steps down into pond alternatively. It is quite a good movie. So is "Mithilukal". And "Nizhalkuthhu". I strongly recommend these movies of Adoor Gopalakrishnan to my foreign blog readers.
Coming back to hyperbolic and trigonometric formulas, here are they.
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