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Matematica
O  n  l  i  n  e
|| Teoreme ::: Formule ::: Graficele unor functii uzuale ||
Trigonometrie
cos2x + sin2x = 1
sin(x+y)=sinx cosy + cosx siny
sin(x-y)=sinx cosy - cosx siny
cos(x+y)=cosx cosy - sinx siny
cos(x-y)=cosx cosy + sinx siny
tg(x + y)=(tgx + tgy)/(1 - tgx tgy)
tg(x - y)=(tgx - tgy)/(1 + tgx tgy)
sinx cosy=1/2 *(sin(x + y) + sin(x - y))
cosx cosy=1/2 *(cos(x + y) + cos(x - y))
sinx siny=1/2 *(cos(x - y) - cos(x + y))
sin2x=2sinx cosx
cos2x= 1 - sin2x
sin3x=3sinx - 4sin3x
cos3x=4cos3x - 3cosx
sinx + siny=2sin[(x+y)/2] cos[(x-y)/2]
sinx - siny=2sin[(x-y)/2] cos[(x+y)/2]
cosx + cosy=2cos[(x+y)/2] cos[(x-y)/2]
cosx - cosy=2sin[(x+y)/2] cos[(y-x)/2]
1 - cosx=2sin2(x/2)
1 + cosx=2cos2(x/2)
tg(x/2)=tsinx= 2t/(1+t2)
tg(x/2)=tcosx=(1-t2)/(1+t2)