Тригонометрия (алгебра)

Тригонометрия (алгебра)

ARCSIN a

-(/2(arcsin a ((/2 sin(arcsin a)=a

arcsin (-a)= -arcsin a

|a |0|1/|(2/|(3/|1 |

| | |2 |2 |2 | |

|arcsin|0|(/|(/4|(/3|(/|

|a | |6 | | |2 |

SIN X= A

x=(-1)n arcsin a +(k

|sin x=0|x=(k |

|sin x=1|x=(/2+2(k |

|sin |x=-(/2+2(k |

|x=-1 | |

ARCCOS a

0 (arccos a (( cos(arccos a)=a

arccos (-a)=( -arccos a

|a |0 |1/|(2/|(3/|1|

| | |2 |2 |2 | |

|arccos|(/|(/|(/4|(/6|0|

|a |2 |3 | | | |

COS X= A

x=( arccos a +2(k

|cos x=0|x=(/2+(k |

|cos x=1|x=2(k |

|cos |x=(+2(k |

|x=-1 | |

ARCTG a

-(/2(arctg a ((/2 tg(arctg a)=a

arctg (-a)= -arctg a

|a |0 |(3/|1 |(3 |

| | |3 | | |

|tg|0 |(/6|(/4|(/3 |

|a | | | | |

TG X= A

x=( arctg a +(k

sin(*cos(=1/2[sin((-()+sin((+()]

sin(*sin(=1/2[cos((-()-cos((+()]

cos(*cos(=1/2[cos((-()+cos((+b)]