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求下列函数的单调区间 (2)y=cos(TT/4-2x)的单调减区间 (3)y=tan(2x-TT/3)的单调区间
y=2sin(TT/3-x)的单调区间
人气:301 ℃ 时间:2019-08-19 17:49:29
解答
(2)y=cos(TT/4-2x)的单调减区间
2kπ<=TT/4-2x<=2kπ+π
即得,单调减区间:
-kπ-3π/8<=x<=-kπ+π/8
(3)y=tan(2x-TT/3)的单调区间
2kπ-π/2<=2x-TT/3<=2kπ+π/2
即得,单调增区间:
kπ-π/12<=x<=kπ+5π/12y=2sin(TT/3-x)的单调增区间2kπ-π/2<=TT/3-x<=2kπ+π/2y=2sin(TT/3-x)的单调增区间-2kπ-π/6<=x<=-2kπ+5π/62kπ+π/2<=TT/3-x<=2kπ+3π/2y=2sin(TT/3-x)的单调减区间-2kπ-7π/6<=x<=-2kπ-π/6以上k∈Z
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