问题
填空题
函数y=sin(-2x+
|
答案
∵y=sin(-2x+
),π 4
而正弦函数的单调递减区间为:[2kπ+
,2kπ+π 2
]3π 2
∴-2x+
∈[2kπ+π 4
,2kπ+π 2
]3π 2
而x∈[0,π]
∴综上,y=sin(-2x+
)的单调递减区间为:[0,π 4
],[3π 8
,π]7π 8
故答案为:[0,
],[3π 8
,π]7π 8
函数y=sin(-2x+
|
∵y=sin(-2x+
),π 4
而正弦函数的单调递减区间为:[2kπ+
,2kπ+π 2
]3π 2
∴-2x+
∈[2kπ+π 4
,2kπ+π 2
]3π 2
而x∈[0,π]
∴综上,y=sin(-2x+
)的单调递减区间为:[0,π 4
],[3π 8
,π]7π 8
故答案为:[0,
],[3π 8
,π]7π 8