1+cos2x+√3/2*(sinxcosx)化简具体步骤

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 18:48:09
1+cos2x+√3/2*(sinxcosx)化简具体步骤

1+cos2x+√3/2*(sinxcosx)化简具体步骤
1+cos2x+√3/2*(sinxcosx)化简具体步骤

1+cos2x+√3/2*(sinxcosx)化简具体步骤
解1+cos2x+√3/2*(sinxcosx)
=1+2cos^2x-1+√3/2*(sinxcosx)
=2cos^2x+√3/2*sinxcosx
=cosx(2cosx+√3/2sinx)
=cosx×√19/2(4/√2cosx+√3/√19sinx)
=√19/2cosxcos(x-θ)(cosθ=4/√2,sinθ=√3/√19)