设f(x)=sin(2x+π/6)+3/2,g(x)=f(x+a).若g(x)为偶函数,求a的值.
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设f(x)=sin(2x+π/6)+3/2,g(x)=f(x+a).若g(x)为偶函数,求a的值.
设f(x)=sin(2x+π/6)+3/2,g(x)=f(x+a).若g(x)为偶函数,求a的值.
设f(x)=sin(2x+π/6)+3/2,g(x)=f(x+a).若g(x)为偶函数,求a的值.
g(x)
=f(x+a)
=sin[2(x+a)+π/6]+3/2
=sin(2x+2a+π/6)+3/2为偶函数,
所以2a+π/6=π/2+kπ,k∈Z
a=π/6+kπ/2,k∈Z
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设f(x)=sin(2x+π/6)+3/2,g(x)=f(x+a).若g(x)为偶函数,求a的值.