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Основные формулы по тригонометрии.


cos(x-y)=cosx*cosy+sinx*siny
cos(x+y)=cosx*cosy-sinx*siny
sin(x-y)=sinx*cosy-cosx*siny
sin(x+y)=sinx*cosy+cosx*siny

sin2x=2sinx*cosx
cos2x=cos2x-sin2x=1-2sin2x=2cos2x-1

sin3x=3sinx-4sin3x
cos3x=4cos3x-3cosx

cosx*cosy=1/2[cos(x+y)+cos(x-y)]
sinx*siny=1/2[cos(x-y)-cos(x+y)]
sinx*cosy=1/2[sin(x+y)+sin(x-y)]

sinx=a; a=(-1)^k*arcsinx+Pk
x=arcsinx+2Pn
x=P-arcsinx+2Pn
sinx=1, t=P/2+2Pn
sinx=0, x=Pn
sinx=-1, x= -P/2+2Pn

cosx=a, x=+-arccosa+2Pn
cosx=1, x=2Pn
cosx=0, x=P/2+Pn
cosx= -1,  x=P+2Pn

tgx=a, x=arctga+Pn
tgx=1, x=P/4+Pn
tgx=0, x=Pn
tgx=-1, x=-P/4+Pn



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