НАУЧНАЯ БИБЛИОТЕКА - РЕФЕРАТЫ - Формулы по тригонометрии (шпаргалка)

Формулы по тригонометрии (шпаргалка)

|cos(=((1-sin2(=(1-tg2(/2)/(1+|sin(=((1/1+ctg2(=(2tg(/2)/(1+t|

|tg2(/2) |g2(/2) |

|cos(([pic]()=sin(sin([pic]cos|sin(((((=sin(cos((sin(cos( |

|(cos( | |

|tg((+()=sin((+()/cos((+()=(tg|tg((-()=(tg(-tg()/(1+tg(tg() |

|(+tg()/(1-tg(tg() | |

|ctg((+()=(ctg(ctg(-1)/(ctg(+c|ctg((-()=(ctg(ctg(+1)/(ctg(-ct|

|tg() |g() |

|sin2(=2sin(cos(=(2tg()/(1+tg2|cos2(=cos2(-sin2(=(1-tg2()/(1+|

|() |tg2()=2cos2(-1=1-2sin2( |

|tg2(=2tg(/(1-tg2() |ctg2(=(ctg2(-1)/2ctg( |

|ctg2(=(ctg2(-1)/2ctg( | |

|cos2(/2=1+cos(/2 |sin2(/2=1-cos(/2 |

|cos2(=(1+cos2()/2 |sin2(=(1-cos2()/2 |

|cos(/2=((1+cos(/2 |sin(/2=((1-cos(/2 |

|tg(/2=((1-cos(/1+cos(=(sin()/|ctg(/2=((1+cos(/1-cos(=sin(/(1|

|(1+cos()=(1-cos()/sin( |-cos()=(1+cos()/sin( |

|sin(+cos(=(2 cos((/4-() |sin(-cos(=(2 sin((-(/4) |

|cos(-sin(=(2 sin((/4-() |cos(+cos(=2cos((+()/2cos((-()/|

| |2 |

|cos(-cos(=-2sin((+()/2sin((-(|sin(+sin(=2sin((+()/2cos((-()/|

|)/2 |2 |

|sin(-sin(=2sin((-()/2cos((+()|tg((tg(=(sin(((())/cos(cos( |

|/2 | |

|cos(cos(=1/2(cos(((()+cos((+(|sin(sin(=1/2(cos(((()-cos((+()|

|)) |) |

|sin(cos(=1/2(sin((+()+sin((-(|tg(=(2tg(/2)/(1-tg2(/2) |

|)) | |

|cos(=((1-sin2(=(1-tg2(/2)/(1+tg2(/2) |sin(=((1/1+ctg2(=(2tg(/2)/(1+tg2(/2) |

|cos(([pic]()=sin(sin([pic]cos(cos( |sin(((((=sin(cos((sin(cos( |

|tg((+()=sin((+()/cos((+()=(tg(+tg()/(|tg((-()=(tg(-tg()/(1+tg(tg() |

|1-tg(tg() | |

|ctg((+()=(ctg(ctg(-1)/(ctg(+ctg() |ctg((-()=(ctg(ctg(+1)/(ctg(-ctg() |

|sin2(=2sin(cos(=(2tg()/(1+tg2() |cos2(=cos2(-sin2(=(1-tg2()/(1+tg2()=2|

| |cos2(-1=1-2sin2( |

|tg2(=2tg(/(1-tg2() |ctg2(=(ctg2(-1)/2ctg( |

|ctg2(=(ctg2(-1)/2ctg( | |

|cos2(/2=1+cos(/2 cos2(=(1+cos2()/2 |sin2(/2=1-cos(/2 sin2(=(1-cos2()/2 |

|cos(/2=((1+cos(/2 |sin(/2=((1-cos(/2 |

|tg(/2=((1-cos(/1+cos(=(sin()/(1+cos()|ctg(/2=((1+cos(/1-cos(=sin(/(1-cos()=|

|=(1-cos()/sin( |(1+cos()/sin( |

|sin(+cos(=(2 cos((/4-() |sin(-cos(=(2 sin((-(/4) |

|cos(-sin(=(2 sin((/4-() |cos(+cos(=2cos((+()/2cos((-()/2 |

|cos(-cos(=-2sin((+()/2sin((-()/2 |sin(+sin(=2sin((+()/2cos((-()/2 |

|sin(-sin(=2sin((-()/2cos((+()/2 |tg((tg(=(sin(((())/cos(cos( |

|cos(cos(=1/2(cos(((()+cos((+()) |sin(sin(=1/2(cos(((()-cos((+()) |

|sin(cos(=1/2(sin((+()+sin((-()) |tg(=(2tg(/2)/(1-tg2(/2) |