y=sin(x-π/6)-cos(x-π/3)的最大值和最小值

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y=sin(x-π/6)-cos(x-π/3)的最大值和最小值y=sin(x-π/6)-cos(x-π/3)的最大值和最小值y=sin(x-π/6)-cos(x-π/3)的最大值和最小值y=sin(x

y=sin(x-π/6)-cos(x-π/3)的最大值和最小值
y=sin(x-π/6)-cos(x-π/3)的最大值和最小值

y=sin(x-π/6)-cos(x-π/3)的最大值和最小值
y=sin(x-π/6)-cos(x-π/3)
=√3sinx/2-cosx/2-(cosx/2+√3sinx/2)
=-cosx
所以y最大值为1
最小值为-1