函数y=-2tan(π/6+x)在区间[-π/3,π/6]上的值域为?
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![函数y=-2tan(π/6+x)在区间[-π/3,π/6]上的值域为?](/uploads/image/z/10316112-24-2.jpg?t=%E5%87%BD%E6%95%B0y%3D-2tan%EF%BC%88%CF%80%2F6%2Bx%EF%BC%89%E5%9C%A8%E5%8C%BA%E9%97%B4%5B-%CF%80%2F3%2C%CF%80%2F6%5D%E4%B8%8A%E7%9A%84%E5%80%BC%E5%9F%9F%E4%B8%BA%3F)
函数y=-2tan(π/6+x)在区间[-π/3,π/6]上的值域为?
函数y=-2tan(π/6+x)在区间[-π/3,π/6]上的值域为?
函数y=-2tan(π/6+x)在区间[-π/3,π/6]上的值域为?
x∈[-π/3,π/6]
∴π/6+x∈[-π/6,π/3]
tan(π/6+x)∈[-√3/3,√3]
∴-2tan(π/6+x)∈[-2√3,2√3/3]
值域是[-2√3,2√3/3]