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Gurus Of Math, Help Me Out ! by Prectega(m): 4:47pm On Nov 19, 2017 |
I need the explanation for the prove that
sinx + icosx = 1 where i is imaginary unit. |
Re: Gurus Of Math, Help Me Out ! by Kylekent59: 5:23pm On Nov 19, 2017 |
Prectega:We can solve using euler's formular: e^ix = cosx + isinx Where Cosx= re(e^ix)= 1/2 e^ix + 1/2 e^-ix And sinx= lm(e^ix)= -1/2 e^ix + 1/2 e^-ix So let sinx + icosx =Y where Re means real and Im means immaginary. Substituting for Cosx and sinx into the equation sinx + icosx = Y we have, Y= (- 1/2 e^ix + 1/2 e^-ix) + i(1/2 e^ix + 1/2 e^-ix) Collecting like terms we have, Y =(1/2 e^ix - 1/2 e^ix) +(1/2 e^-ix +1/2 e^-ix) We have Y= 0 + 2(-1/2 e^-ix) Y=-e^-ix Y= 1 Hence y= sinx + icosx =-e^-ix= 1. To be sincere I was once d best in math 305 in d university. I could prove that with my materials and diary point jot. But I graduated 2 years ago. Dnt knw how to help,but I believe some nairalanders would help out. At last I remembered |
Re: Gurus Of Math, Help Me Out ! by sim37(m): 6:47pm On Nov 19, 2017 |
i use to like maths until they started including alphabets ;Di use to like maths until they started including alphabets |
Re: Gurus Of Math, Help Me Out ! by Specyano(m): 8:00pm On Nov 19, 2017 |
Taking magnitude of the equation will give one i.e (sin^2)x + (cos^2)x |
Re: Gurus Of Math, Help Me Out ! by Searchingvictor: 6:56am On Oct 24, 2023 |
Prove |
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