tan α = | sin α | , α ≠ | π | + πn, n є Z |
cos α | 2 |
cot α = | cos α | , α ≠ π + πn, n є Z |
sin α |
sec α = | 1 | , α ≠ | π | + πn, n є Z |
cos α | 2 |
cosec α = | 1 | , α ≠ π + πn, n є Z |
sin α |
1 + tan2 α = | 1 |
cos2 α |
1 + cot2 α = | 1 |
sin2 α |
tan(α + β) = | tan α + tan β |
1 – tanα · tan β |
tan(α – β) = | tan α – tan β |
1 + tanα · tan β |
cot(α + β) = | cotα · cot β - 1 |
cot β + cot α |
cot(α - β) = | cotα · cot β + 1 |
cot β - cot α |
tan 2α = | 2 tan α |
1 - tan2 α |
cot 2α = | cot2 α - 1 |
2 cot α |
tan 3α = | 3 tan α - tan3 α |
1 - 3 tan2 α |
cot 3α = | 3 cot α - cot3 α |
1 - 3 cot2 α |
sin2 α = | 1 - cos 2α |
2 |
cos2 α = | 1 + cos 2α |
2 |
sin3 α = | 3 sin α - sin 3α |
4 |
cos3 α = | 3 cos α + cos 3α |
4 |
sin α + sin β = 2 sin | α + β | cos | α - β |
2 | 2 |
sin α - sin β = 2 sin | α - β | cos | α + β |
2 | 2 |
cos α + cos β = 2 cos | α + β | cos | α - β |
2 | 2 |
cos α - cos β = -2 sin | α + β | sin | α - β |
2 | 2 |
tan α + sin β = | sin(α + β) |
cos α · cos β |
tan α - sin β = | sin(α - β) |
cos α · cos β |
cot α + sin β = | sin(α + β) |
sin α · sin β |
cot α - sin β = | sin(α - β) |
sin α · sin β |
where r2 = a2 + b2, sin φ = | b | , tan φ = | b |
r | a |
sin α · sin β = | 1 | (cos(α - β) - cos(α + β)) |
2 |
sin α · cos β = | 1 | (sin(α + β) + sin(α - β)) |
2 |
cos α · cos β = | 1 | (cos(α + β) + cos(α - β)) |
2 |
sin α = | 2 tan (α/2) |
1 + tan2 (α/2) |
cos α = | 1 - tan2 (α/2) |
1 + tan2 (α/2) |
tan α = | 2 tan (α/2) |
1 - tan2 (α/2) |
cot α = | 1 - tan2 (α/2) |
2 tan (α/2) |
.
网友[匿名]评论:这篇文章总体写的非常好,我感觉很满意,表示非常谢谢!!!—2019-04-02 19:00:44
网友[匿名]评论:格式设计的很好哇—2018-07-01 11:27:16
网友[匿名]评论:不错,谢谢整理—2018-06-23 10:08:02
网友[匿名]评论:三角函数计算器能算?—2017-04-21 23:43:49