F(X)=SIN(2X+α)+COS(2X+α)为偶函数 则最小正周期?速求

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F(X)=SIN(2X+α)+COS(2X+α)为偶函数则最小正周期?速求F(X)=SIN(2X+α)+COS(2X+α)为偶函数则最小正周期?速求F(X)=SIN(2X+α)+COS(2X+α)为偶

F(X)=SIN(2X+α)+COS(2X+α)为偶函数 则最小正周期?速求
F(X)=SIN(2X+α)+COS(2X+α)为偶函数 则最小正周期?速求

F(X)=SIN(2X+α)+COS(2X+α)为偶函数 则最小正周期?速求
f(x)=sin(2x+α)+cos(2x+α)
=√2[cos(2x+α-π/4)]
最小正周期 = π