急!!!求答案,在线等!!!
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f(x)=sin^2(ωx)+√3sin(ωx)cos(ωx)
=[1-cos(2ωx)]/2+(√3/2)sin(2ωx)
=(√3/2)sin(2ωx)-(1/2)cos(2ωx)+(1/2)
=sin(2ωx-π/6)+(1/2)
T=π=2π/(2ω)
ω=1
f(x)=sin(2x-π/6)+(1/2)
由-π/2+2kπ≤2x-π/6≤π/2+2kπ得:
-π/6+kπ≤x≤π/3+kπ
单调增区间:[-π/6+kπ,π/3+kπ]
0≤x≤π
-π/6≤2x-π/6≤11π/6
-1≤sin(2ωx-π/6)≤1
-1/2≤sin(2ωx-π/6)+(1/2)≤3/2
值域为:[-1/2 , 3/2]
=[1-cos(2ωx)]/2+(√3/2)sin(2ωx)
=(√3/2)sin(2ωx)-(1/2)cos(2ωx)+(1/2)
=sin(2ωx-π/6)+(1/2)
T=π=2π/(2ω)
ω=1
f(x)=sin(2x-π/6)+(1/2)
由-π/2+2kπ≤2x-π/6≤π/2+2kπ得:
-π/6+kπ≤x≤π/3+kπ
单调增区间:[-π/6+kπ,π/3+kπ]
0≤x≤π
-π/6≤2x-π/6≤11π/6
-1≤sin(2ωx-π/6)≤1
-1/2≤sin(2ωx-π/6)+(1/2)≤3/2
值域为:[-1/2 , 3/2]
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