题目内容
已知向量
=(cosx,sinx),
=(
,
),
•
=
,则cos(x-
)=______.
| a |
| b |
| 2 |
| 2 |
| a |
| b |
| 8 |
| 5 |
| π |
| 4 |
∵
=(cosx,sinx),
=(
,
),
•
=
,
∴
cosx+
sinx=2(
cosx+
sinx)=2cos(x-
)=
,
则cos(x-
)=
.
故答案为:
| a |
| b |
| 2 |
| 2 |
| a |
| b |
| 8 |
| 5 |
∴
| 2 |
| 2 |
| ||
| 2 |
| ||
| 2 |
| π |
| 4 |
| 8 |
| 5 |
则cos(x-
| π |
| 4 |
| 4 |
| 5 |
故答案为:
| 4 |
| 5 |
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