题目内容
若f(x)=asin(x+
)+3sin(x-
)是偶函数,则a=______.
| π |
| 4 |
| π |
| 4 |
f(x)=asin(x+
)+3sin(x-
)=a(
sinx+
cosx)+3(
sinx-
cosx)是偶函数,
取a=-3,可得f(x)=-3
cosx为偶函数.
故答案为:-3.
| π |
| 4 |
| π |
| 4 |
| ||
| 2 |
| ||
| 2 |
| ||
| 2 |
| ||
| 2 |
取a=-3,可得f(x)=-3
| 2 |
故答案为:-3.
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