已知f(α)=sin(π?α)?cos(2π?α)?tan(?π?α)sin(?π?α)(1)求f(α); (2)若α是第三象限角,

2025-06-27 22:17:59
推荐回答(1个)
回答1:

(1)f(α)=

sinα?cosα?(?tanα)
sinα
=?sinα;
(2)∵cos(α-
3
2
π
)=cos(
3
2
π
-α)=-sinα=
1
5

∴f(α)=-sinα=
1
5

(3)f(-1860°)=-sin(-1860°)=sin1860°
=sin(5×360°+60°)=sin60°=
3
2