求单调增区间y=cos(3/10 π-2x)+sin(2x+2/10 π) π∈[0,π]

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求单调增区间y=cos(3/10 π-2x)+sin(2x+2/10 π) π∈[0,π]
求单调增区间y=cos(3/10 π-2x)+sin(2x+2/10 π) π∈[0,π]

求单调增区间y=cos(3/10 π-2x)+sin(2x+2/10 π) π∈[0,π]
y = cos(3/10 π - 2x) + sin(2x + 2/10 π) = 2sin(2x + 2/10 π)
单调增区间: 2kπ - π/2 ≤2x + 2π/10 ≤ 2kπ + π/2
kπ - 7π/20 ≤ x ≤ kπ + 3π/20
在 x ∈ [0 , π] 内,单调增区间为:x ∈ [0 , 3π/20 , π] ∪ [13π/20 , π]