若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是__________________.

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若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是__________________.

若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是__________________.
若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是__________________.

若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是__________________.
f(x)=f(-x)
f(x)=asin(x+π/4)+bsin(x-π/4)
f(-x)=asin(-x+π/4)+bsin(-x-π/4)
=-bsin(x+π/4)-asin(x-π/4)
所以a=-b
我认为只要满足a=-b的都可以