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](/uploads/image/z/12649591-55-1.jpg?t=%E5%B7%B2%E7%9F%A5y%3D2sin%282x%2B%CF%80%2F4%29%E8%8B%A5x%26%238364%3B%5B-7%CF%80%2F24%2C5%CF%80%2F24%5D%E6%B1%82y%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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]