化简f（x）=sinxcosx-√3cos（π+x）·cosx?_数学解答

化简f（x）=sinxcosx-√3cos（π+x）·cosx?

人气：479 ℃　时间：2020-10-01 22:31:14

解答

f(x)=1/2·sin2x+√3·cos²x
=1/2·sin2x+√3/2·(cos2x+1)
=1/2·sin2x+√3/2·cos2x+√3/2
=sin(2x+π/6)+√3/2