1 |
5 |
1 |
5 |
∵sin2α+cos2α=1,
∴25sin2α-5sin α-12=0.
∵α是三角形的内角,∴
|
∴tanα=-
4 |
3 |
(2)
1 |
cos2α−sin2α |
sin2α+cos2α |
cos2α−sin2α |
=
| ||
|
=
tan2α+1 |
1−tan2α |
∵tanα=-
4 |
3 |
∴
1 |
cos2α−sin2α |
tan2α+1 |
1−tan2α |
25 |
7 |
1 |
5 |
1 |
cos2α−sin2α |
1 |
5 |
1 |
5 |
|
4 |
3 |
1 |
cos2α−sin2α |
sin2α+cos2α |
cos2α−sin2α |
| ||
|
tan2α+1 |
1−tan2α |
4 |
3 |
1 |
cos2α−sin2α |
tan2α+1 |
1−tan2α |
25 |
7 |