In class 11, we spent countless hours and days trying to memorise the formulas of trigonometry. We tried our level best learning that Sin(A+B)=sinAcosB+cosAsinB, Cos(A+B)=cosAcosB-sinAsinB and what not. But we never tried to question why?Where suddenly these formulas landed from was the question which kept haunting me. But now I have come to a level where I can figure out why these formulas hold good. So here attached is the logic behind those formulas via the complex number method.
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