已知函數(shù)f(x)=5sinxcosx-5√3cos^2x+[(5√3)/2] (x∈R)求：函數(shù)最小正周期和單調(diào)區(qū)間
已知函數(shù)f(x)=5sinxcosx-5√3cos^2x+[(5√3)/2] (x∈R)求：函數(shù)最小正周期和單調(diào)區(qū)間
數(shù)學(xué)人氣：435 ℃時間：2020-04-22 05:58:17
優(yōu)質(zhì)解答
解；依題意得y=(5/2)sin2x-(5√3/2)cos2x=(5/2)sin(π-2x)+(5√3/2)cos(π-2x)=5sin(π-2x+a)tana=(5√3/2)/(5/2)=√3a=π/3y=5sin(π-2x+a)=5sin(π-2x+π/3)=5sin(2x-π/3)y=sinx的單調(diào)遞增區(qū)間是2kπ-π/2...
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