| 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 |