y=3sin(π/6-3x),x∈[-π/2,π.2]的单调增区间是
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![y=3sin(π/6-3x),x∈[-π/2,π.2]的单调增区间是](/uploads/image/z/8709607-55-7.jpg?t=y%3D3sin%28%CF%80%2F6-3x%29%2Cx%E2%88%88%5B-%CF%80%2F2%2C%CF%80.2%5D%E7%9A%84%E5%8D%95%E8%B0%83%E5%A2%9E%E5%8C%BA%E9%97%B4%E6%98%AF)
y=3sin(π/6-3x),x∈[-π/2,π.2]的单调增区间是
y=3sin(π/6-3x),x∈[-π/2,π.2]的单调增区间是
y=3sin(π/6-3x),x∈[-π/2,π.2]的单调增区间是
-π/3≤π/6-3x≤5π/3
令x=π/6-3x
根据y=3sinx图像易得
单调增区间是 -π/2≤x≤π/2 U 3π/2≤x≤5π/3
代入x=π/6-3x,-π/2≤π/6-3x≤π/2 U 3π/2≤π/6-3x≤5π/3
化开即可
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