tanx-tan3x |
1+2tan2x+tan4x |
tanx(1-tan2x) |
(1+tan2x)2 |
tanx |
1+tan2x |
1-tan2x |
1+tan2x |
=
1 |
2 |
1 |
4 |
故最大、小值分别为:
1 |
4 |
1 |
4 |
∴最大与最小值的积为
-1 |
16 |
故答案为:-
1 |
16 |
tanx-tan3x |
1+2tan2x+tan4x |
tanx-tan3x |
1+2tan2x+tan4x |
tanx(1-tan2x) |
(1+tan2x)2 |
tanx |
1+tan2x |
1-tan2x |
1+tan2x |
1 |
2 |
1 |
4 |
1 |
4 |
1 |
4 |
-1 |
16 |
1 |
16 |