作业帮函数y=cos(x-π/8)(x∈[π/6,2π/3])的最小值是多少
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函数y=cos(x-π/8)(x∈[π/6,2π/3])的最小值是多少
函数y=cos(x-π/8)(x∈[π/6,2π/3])的最小值是多少
函数y=cos(x-π/8)(x∈[π/6,2π/3])的最小值是多少
x∈[π/6,2π/3]
π/24≤x-π/8≤13π/24
7.5°到97.5°之间.
最小值就是cos97.5°,也即cos13π/24.
x∈[π/6,2π/3]
x-π/8∈[π/24,13π/24]
13π/24>12π/24=π/2
=>函数y=cos(x-π/8)(x∈[π/6,2π/3])的最小值是cos(13π/24)
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