已知函數(shù)f(x)=cos平方x-√3sinxcosx+1
已知函數(shù)f(x)=cos平方x-√3sinxcosx+1
f(a)=5/6.π/3≤a≤2π/3 求sin2a的值
f(a)=5/6.π/3≤a≤2π/3 求sin2a的值
數(shù)學(xué)人氣:246 ℃時間:2019-09-24 19:31:47
優(yōu)質(zhì)解答
f(x)=cos²x -√3sinxcosx +1=(1+cos2x)/2-(√3/2)sin2x +1=sin(π/6 - 2x)+3/2因為,f(a)=5/6所以,sin(π/6 -2a)+3/2=5/6即,sin(2a-π/6)=2/3因為,π/3≤a≤2π/3所以,π/2≤2a-π/6≤7π/6所以,cos(2a-π/6)...
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