2012年度数学I演習第3回

3 9
3.1
A ′ A A A ′
A ′
sin x
sin x [ (2n − 1 2 )π, (2n + 1 2 )π] [ (2n + 1 2 )π, (2n + 3 2 )π]
[ − π 2 , π
2
]
sin x Arcsin x
arcsin x sin −1 x Arcsin x [−1, 1] [ − π 2 , π
2
]
4
✓
y
y
π
✏
π
2
−1
O
1
x
−1
O
1
x
− π 2
✒
y = Arcsin x
y = Arccos x
4:
✑
Arcsin x Arcsin x
sin
Arc
cos x
cos x [ (2n − 1)π, 2nπ ] [ 2nπ, (2n + 1)π ]
[0, π] cos x
Arccos x arccos x cos −1 x Arccos x
[−1, 1] [0, π] 4