y=log1/2[sin(1/2x+π/3)]的增区间是?

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y=log1/2[sin(1/2x+π/3)]的增区间是?
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y=log1/2[sin(1/2x+π/3)]的增区间是?
y=log1/2[sin(1/2x+π/3)]的增区间是?

y=log1/2[sin(1/2x+π/3)]的增区间是?
y=log1/2[sin(1/2 x+π/3)]
底1/2<1
∴当真数sin(1/2 x+π/3)>0并且单调减时,y单调增
∴2kπ+π/2 ≤ 1/2 x+π/3 <2kπ+π
4kπ+π ≤ x+2π/3 <4kπ+2π
4kπ+π/3 ≤ x+2π/3 <4kπ+4π/3
y=log1/2[sin(1/2x+π/3)]的增区间【 4kπ+π/3 ,4kπ+4π/3)