(1) f(x)=sin(x+7π/4)+cos(x-3π/4)=sin(x+7π/4)+sin(5π/4-x)=2sin(3π/2)cos(x+π/4)=-cos(x+π/4)最小正周期T=2π/1=2π(2)已知cos(β-α)=4/5 cos(β+α)=-4/5,两式相加 cos(β-α)+cos(β+α)=02cosβcosα=0...
已知函数f(x)=sin(x+7π/4)+cos(x-3π/4),x∈R
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