Pomoc

Evo zaglavio sam kod ovog trigonometrijskog zadatka (II godina Tesle):
#Ovo je resenje
sin(x) + sin(y)=a
cos(x) + cos(y)=b

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(sin(x) + sin (y)) / (cos(x) + cos(y)) =
(2sin((x+y) / 2) cos ((x-y) / 2)) / (2cos((x+y) / 2) cos ((x-y) / 2))=
tg ((x+y) / 2) = a/b

#Odavde je postalo nejasno

sin (x+y) = (2tg((x+y)/2)) / (1+sqr(tg ((x+y)/2)))

#Treba da nadjem koliko je sin (x+y) u zadatku

Potpis

Ken Thompson has an automobile which he helped design. Unlike most automobiles, it has neither speedometer, nor gas gauge, nor any of the other numerous idiot lights which plague the modern driver. Rather, if the driver makes a mistake, a giant “?” lights up in the center of the dashboard. “The experienced driver,” says Thompson, “will usually know what’s wrong.”

Poslednja formula je verovatno dobijena ovako : prvo
sin(a) = tg(a)/sqrt(1+sqr(tg(a)))
a onda se uradi ovako
tg(a) = tg(2a/2) = 2tg(a/2)/(1-sqr(tg(a/2))) (formula za tg dvostrukog ugla)
kada ovo zamenis u prethodno i sredis, dobices datu formulu; samo zameni a sa x+y.

Hvala ti na odgovoru!

Potpis

Ken Thompson has an automobile which he helped design. Unlike most automobiles, it has neither speedometer, nor gas gauge, nor any of the other numerous idiot lights which plague the modern driver. Rather, if the driver makes a mistake, a giant “?” lights up in the center of the dashboard. “The experienced driver,” says Thompson, “will usually know what’s wrong.”