函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?
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函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?
函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?
函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?
f(x)=(√3/2sinx/2+1/2cosx/2)(√3/2cosx/2+1/2sinx/2)
=1/4(3sinx/2cosx/2+√3sin^2 x/2+√3cos^2 x/2+cosx/2sinx/2)
=1/4(2sinx+√3)
=1/2sinx+√3/4
最小值是√3/4-1/2 sinx取-1
sinαcosβ=[sin(α+β)+sin(α-β)]/2
f(x)=sin(x/2+π/6)cos(x/2-π/6)
=1/2(sinx+sinπ/3)
=1/2sinx+√3/4
最小值是√3/4-1/2
函数f(x)=cos2x+cos(x+π/3)+sin(x+π/6)+3sin^2x的最小值A.0 B.2 C.9/4 D.3
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