求y=arcsin(sinx),(-π/3≤x≤2π/3)的值域

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求y=arcsin(sinx),(-π/3≤x≤2π/3)的值域求y=arcsin(sinx),(-π/3≤x≤2π/3)的值域求y=arcsin(sinx),(-π/3≤x≤2π/3)的值域-π/3

求y=arcsin(sinx),(-π/3≤x≤2π/3)的值域
求y=arcsin(sinx),(-π/3≤x≤2π/3)的值域

求y=arcsin(sinx),(-π/3≤x≤2π/3)的值域
-π/3≤x≤2π/3
则sin(-π/3)≤sinx≤sin(π/2)
即-√3/2≤sinx≤1
所以arcsin(-√3/2≤arcsin(sinx)≤arcsin1
-π/3≤arcsin(sinx)≤π/2