Y=2sin(3x-4分之派) 的单调区间怎么求?
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y=sinx的单调增区间为[-π/2+2kπ,π/2+2kπ] k属于整数
单调减区间为[ π/2+2kπ ,3π/2+2kπ] k属于整数
令t=3x-π/4,Y=2sint的单调增区间为[-π/2+2kπ,π/2+2kπ]
即-π/2+2kπ≤3x-π/4≤π/2+2kπ
-π/12+2kπ/3≤x≤π/4+2kπ/3
Y=2sin(3x-π/4)的单调增区间为[-π/12+2kπ/3,π/4+2kπ/3] k属于整数
同理可得Y=2sin(3x-π/4)的单调减区间为[π/4+2kπ/3,7π/12+2kπ/3] k属于整数
单调减区间为[ π/2+2kπ ,3π/2+2kπ] k属于整数
令t=3x-π/4,Y=2sint的单调增区间为[-π/2+2kπ,π/2+2kπ]
即-π/2+2kπ≤3x-π/4≤π/2+2kπ
-π/12+2kπ/3≤x≤π/4+2kπ/3
Y=2sin(3x-π/4)的单调增区间为[-π/12+2kπ/3,π/4+2kπ/3] k属于整数
同理可得Y=2sin(3x-π/4)的单调减区间为[π/4+2kπ/3,7π/12+2kπ/3] k属于整数
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