f(x) = arcsin(sin x)
"
1 3
sin( (- ))
2 2
1
2
1
-
2
3
2
1 1
sin(arccos + arcsin )
5 4
"
3 10+2
"20
5 10+3
"20
6 10+1
20
2
tg(2 arcsin )
3
"
4 5
"
2 5
"
6 5
"
cos(arcsin x) = 1 - x2 |x| d" 1
x
"
sin( x) = -" < x < +"
1+x2
1
x = x " R
x
f(x) = 2 arccos(x - 2)
x " (0, 2)
x
g(x) = cos + 2 x " R f(x)
2
Ą
arcsin(1 - 2x) e"
2
x " -1, 1
x " 0, 1
x " 0, 2
arccos x > arccos x2
x " -1, 0)
x " (-1, 0
arcsin 2x < arcsin x2
1
x " - , 1)
2
1
x " , 1)
2
"
arccos 1 - x2 = - arcsin x
-1 d" x d" 0
-1 d" x d" 1
0 d" x d" 1