Тригонометрия (алгебра)

ARCSIN a

-/2arcsin a /2 sin(arcsin a)=a

arcsin (-a)= -arcsin a

a 0 1/2 2/2 3/2 1

arcsin a 0 /6 /4 /3 /2

SIN X= A

x=(-1)n arcsin a +k

sin x=0 x=k

sin x=1 x=/2+2k

sin x=-1 x=-/2+2k

ARCCOS a

0 arccos a  cos(arccos a)=a

arccos (-a)= -arccos a

a 0 1/2 2/2 3/2 1

arccos a /2 /3 /4 /6 0

COS X= A

x= arccos a +2k

cos x=0 x=/2+k

cos x=1 x=2k

cos x=-1 x=+2k

ARCTG a

-/2arctg a /2 tg(arctg a)=a

arctg (-a)= -arctg a

a 0 3/3 1 3

tg a 0 /6 /4 /3

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)]