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.sn(x+y)=sinx cosy + cosx sinysin(x+y)=sinx cosy + cosx sinycos(x+y)=cosx cosy - sinx sinytg(x+y)=(tgx + tgy)/(1 - tgx tgy)ctg(x+y)=(ctgx ctgy-1)/(ctgx+ctgy)sin(x-y)=sinx cosy - cosx sinycos(x-y)=cosx cosy + sinx sinytg(x-y)=(tgx - tgy)/(1 + tgx tgy)ctg(x-y)=(ctgx ctgy + 1)/(ctgy-ctgx)sin2x=2sinxcosxcos2x=cos2x-sin2x=1-2sin2x=2cos2x-1tg2x=2tgx/(1-tg2x)ctgx2x=(ctg2x-1)/2ctgxsinx/2=√(1-cosx)/2cosx/2=√(1+cosx)/2tgx/2=√(1-cosx)/(1+cosx)ctgx/2=√(1+cosx)/(1-cosx)sinu+sinv=2sin(u+v)/2*cos(u-v)/2sinu-sinv=2cos(u+v)/2*sin(u-v)/2cosu+cosv=2cos(u+v)/2*cos(u-v)/2cosu-cosv=-2sin(u+v)/2*sin(u-v)/2tgx+tgy=[sin(x+y)]/(cosxcosy)ctgx+ctgy=[sin(x+y)]/(sinxsiny)tgx-tgy=[sin(x-y)]/(cosxcosy)ctgx-ctgy=[sin(y-x)]/(sinxsiny) [ Pobierz całość w formacie PDF ]
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.sn(x+y)=sinx cosy + cosx sinysin(x+y)=sinx cosy + cosx sinycos(x+y)=cosx cosy - sinx sinytg(x+y)=(tgx + tgy)/(1 - tgx tgy)ctg(x+y)=(ctgx ctgy-1)/(ctgx+ctgy)sin(x-y)=sinx cosy - cosx sinycos(x-y)=cosx cosy + sinx sinytg(x-y)=(tgx - tgy)/(1 + tgx tgy)ctg(x-y)=(ctgx ctgy + 1)/(ctgy-ctgx)sin2x=2sinxcosxcos2x=cos2x-sin2x=1-2sin2x=2cos2x-1tg2x=2tgx/(1-tg2x)ctgx2x=(ctg2x-1)/2ctgxsinx/2=√(1-cosx)/2cosx/2=√(1+cosx)/2tgx/2=√(1-cosx)/(1+cosx)ctgx/2=√(1+cosx)/(1-cosx)sinu+sinv=2sin(u+v)/2*cos(u-v)/2sinu-sinv=2cos(u+v)/2*sin(u-v)/2cosu+cosv=2cos(u+v)/2*cos(u-v)/2cosu-cosv=-2sin(u+v)/2*sin(u-v)/2tgx+tgy=[sin(x+y)]/(cosxcosy)ctgx+ctgy=[sin(x+y)]/(sinxsiny)tgx-tgy=[sin(x-y)]/(cosxcosy)ctgx-ctgy=[sin(y-x)]/(sinxsiny) [ Pobierz całość w formacie PDF ]