(1)A(>0)=3,周期2π/w=2(6π-π),w=1/5,当x=π时,取wx+φ=π/5+φ=π/2,得φ=3π/10,
此函数解析式为f(x)=3sin(x/5+3π/10)
(2)问题即是否存在实数m,满足不等式:sin{√[-(m-1)^2+4]/5+3π/10}>sin[√(-m^2+4)/5+3π/10].
首先,-(m-1)^2+4>=0,-m^2+4>=0
即|m|
(1)A(>0)=3,周期2π/w=2(6π-π),w=1/5,当x=π时,取wx+φ=π/5+φ=π/2,得φ=3π/10,
此函数解析式为f(x)=3sin(x/5+3π/10)
(2)问题即是否存在实数m,满足不等式:sin{√[-(m-1)^2+4]/5+3π/10}>sin[√(-m^2+4)/5+3π/10].
首先,-(m-1)^2+4>=0,-m^2+4>=0
即|m|