作业帮已知y=2sin(2x+π/4)若x€[-7π/24,5π/24]求y取值范围
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已知y=2sin(2x+π/4)若x€[-7π/24,5π/24]求y取值范围
已知y=2sin(2x+π/4)若x€[-7π/24,5π/24]求y取值范围
已知y=2sin(2x+π/4)若x€[-7π/24,5π/24]求y取值范围
x€[-7π/24,5π/24]
则2x+π/4€[-π/3,2π/3]
在[-π/3,2π/3]内sinx€[-√3/2,1]
所以2sin(2x+π/4)€[-√3,2]
即,y取值范围是[-√3,2]