求y=log下标(1/3)sin(x+π/4)的单调增区间求y=log下标(1/3)[sin(x+π/4)]的单调增区间

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求y=log下标(1/3)sin(x+π/4)的单调增区间求y=log下标(1/3)[sin(x+π/4)]的单调增区间

求y=log下标(1/3)sin(x+π/4)的单调增区间求y=log下标(1/3)[sin(x+π/4)]的单调增区间
求y=log下标(1/3)sin(x+π/4)的单调增区间
求y=log下标(1/3)[sin(x+π/4)]的单调增区间

求y=log下标(1/3)sin(x+π/4)的单调增区间求y=log下标(1/3)[sin(x+π/4)]的单调增区间
同增异减
因为log1/3X在(0,+无穷)上单调递减;故若要单调增区间,则
求sin(x+π/4)的单调递减区间,为(π/2+2πk,3/2π+2πk)(k=0,+-1,+-2,+-3,……)
两区域相交,则答案为(π/2+2πk,3/2π+2πk)(k=0,1,2,3,……)