f(-x)=asin(-x+π/4)+3sin(-x-π/4)
=-asin(x-π/4)-3sin(x+π/4)
f(x)=asin(x+π/4)+3sin(x-π/4)是偶函数
所以f(x)=f(-x)
所以asin(x+π/4)+3sin(x-π/4)=-asin(x-π/4)-3sin(x+π/4)
对应系数相等
明显a=-3
若f(x)=asin(x+π/4)+3sin(x-π/4)是偶函数,则实数a的值为
若f(x)=asin(x+π/4)+3sin(x-π/4)是偶函数,则实数a的值为
数学人气：460 ℃时间：2019-08-17 20:55:32
优质解答
我来回答
类似推荐