cosa=±Ö1-sin2a=(1-tg2a/2)/(1+tg2a/2) | sin a=±Ö1/1+ctg2a=(2tga/2)/(1+tg2a/2) |
cos( a b )=sinasinbcosacosb | sin( a ± b )=sinacosb±sinbcosa |
tg( a + b )=sin(a+b)/cos(a+b)=(tga+tgb)/(1-tgatgb) | tg( a - b )=(tga-tgb)/(1+tgatgb) |
ctg( a + b )=(ctgactgb-1)/(ctga+ctgb) | ctg( a - b )=(ctgactgb+1)/(ctgb-ctga) |
sin2 a=2sinacosa=(2tga)/(1+tg2a) | cos2 a=cos2a-sin2a=(1-tg2a)/(1+tg2a)=2cos2a-1=1-2sin2a |
tg2 a=2tga/(1-tg2a) ctg2a=(ctg2a-1)/2ctga | ctg2 a=(ctg2a-1)/2ctga |
cos2 a /2=1+cosa/2 cos2a=(1+cos2a)/2 | sin2 a /2=1-cosa/2 sin2a=(1-cos2a)/2 |
cos a /2=±Ö1+cosa/2 | sin a /2=±Ö1-cosa/2 |
tg a /2=±Ö1-cosa/1+cosa=(sina)/(1+cosa)=(1-cosa)/sina | ctg a /2=±Ö1+cosa/1-cosa=sina/(1-cosa)=(1+cosa)/sina |
sin a +cos a=Ö2 cos(P/4-a) | sin a -cos a=Ö2 sin(a-P/4) |
cos a -sin a=Ö2 sin(P/4-a) | cos a +cos b=2cos(a+b)/2cos(a-b)/2 |
cos a -cos b=-2sin(a+b)/2sin(a-b)/2 | sin a +sin b=2sin(a+b)/2cos(a-b)/2 |
sin a -sin b=2sin(a-b)/2cos(a+b)/2 | tga ±tgb =(sin(a±b))/cosacosb |
cos a cos b =1/2(cos(a-b)+cos(a+b)) | sin a sin b=1/2(cos(a-b)-cos(a+b)) |
sin a cos b=1/2(sin(a+b)+sin(a-b)) | tg a=(2tga/2)/(1-tg2a/2) |
cosa=±Ö1-sin2a=(1-tg2a/2)/(1+tg2a/2) | sin a=±Ö1/1+ctg2a=(2tga/2)/(1+tg2a/2) |
cos( a b )=sinasinbcosacosb | sin( a ± b )=sinacosb±sinbcosa |
tg( a + b )=sin(a+b)/cos(a+b)=(tga+tgb)/(1-tgatgb) | tg( a - b )=(tga-tgb)/(1+tgatgb) |
ctg( a + b )=(ctgactgb-1)/(ctga+ctgb) | ctg( a - b )=(ctgactgb+1)/(ctgb-ctga) |
sin2 a=2sinacosa=(2tga)/(1+tg2a) | cos2 a=cos2a-sin2a=(1-tg2a)/(1+tg2a)=2cos2a-1=1-2sin2a |
tg2 a=2tga/(1-tg2a) ctg2a=(ctg2a-1)/2ctga | ctg2 a=(ctg2a-1)/2ctga |
cos2 a /2=1+cosa/2 cos2a=(1+cos2a)/2 | sin2 a /2=1-cosa/2 sin2a=(1-cos2a)/2 |
cos a /2=±Ö1+cosa/2 | sin a /2=±Ö1-cosa/2 |
tg a /2=±Ö1-cosa/1+cosa=(sina)/(1+cosa)=(1-cosa)/sina | ctg a /2=±Ö1+cosa/1-cosa=sina/(1-cosa)=(1+cosa)/sina |
sin a +cos a=Ö2 cos(P/4-a) | sin a -cos a=Ö2 sin(a-P/4) |
cos a -sin a=Ö2 sin(P/4-a) | cos a +cos b=2cos(a+b)/2cos(a-b)/2 |
cos a -cos b=-2sin(a+b)/2sin(a-b)/2 | sin a +sin b=2sin(a+b)/2cos(a-b)/2 |
sin a -sin b=2sin(a-b)/2cos(a+b)/2 | tga ±tgb =(sin(a±b))/cosacosb |
cos a cos b =1/2(cos(a-b)+cos(a+b)) | sin a sin b=1/2(cos(a-b)-cos(a+b)) |
sin a cos b=1/2(sin(a+b)+sin(a-b)) | tg a=(2tga/2)/(1-tg2a/2) |