作业帮1.函数f(X)=asin(X+π/4)+3sin(X-π/4)是偶函数,则a=
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1.函数f(X)=asin(X+π/4)+3sin(X-π/4)是偶函数,则a=
1.函数f(X)=asin(X+π/4)+3sin(X-π/4)是偶函数,则a=
1.函数f(X)=asin(X+π/4)+3sin(X-π/4)是偶函数,则a=
由偶函数的定义：f(-x)=f(x)
而f(x) =asin( x+pai/4)+3sin( x-pai/4)
f(-x)=asin(-x+pai/4)+3sin(-x-pai/4) (有-x很麻烦,把他整没)
=asin(-(x-pai/4))+3sin(-(x+pai/4))
=-asin(x-pai/4) -3sin(x+pai/4) (这是因为sin（-x）=-sin（x）)
=-3sin(x+pai/4)-asin( x-pai/4)
你把这个最终结果跟f(x)对应看看,一下子得a=-3
-3 ，将sin展开 合并同类项使sin项系数为零，
已知函数f(x)=Asin
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