y=sin2x+cos2x,x(-π,0)其单调增区间是

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y=sin2x+cos2x,x(-π,0)其单调增区间是

y=sin2x+cos2x,x(-π,0)其单调增区间是
y=sin2x+cos2x,x(-π,0)其单调增区间是

y=sin2x+cos2x,x(-π,0)其单调增区间是
y=sin2x+cos2x
= √2(sin2xcosπ/4+cos2xsinπ/4)
= √2sin(2x+π/4)
x∈(-π,0)
2x+π/4∈(-7π/4,π/4)
当2x+π/4∈【-7π/4,-3π/2)和【-π/2,π/4)时y单调增
∴单调增区间为:【-π,-7π/8),【-3π/8,0)