f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4),x∈R.这个怎么配方啊?就是全部化成sin
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/09/24 13:19:40
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4),x∈R.这个怎么配方啊?就是全部化成sin或cos、谢谢
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)
f(x)=1/2cos 2x+√3/2sin 2x+2(sin x-cos x)(xin x+cos x)
=1/2cos 2x+√3/2sin 2x-2(cos^2 x-sin^2 x)
=1/2cos 2x+√3/2sin 2x-2cos 2x
=-3/2cos 2x+√3/2sin 2x
=√3(1/2sin 2x-√3/2cos 2x)
=√3sin(2x-π/3)
f(x)=1/2cos 2x+√3/2sin 2x+2(sin x-cos x)(xin x+cos x)
=1/2cos 2x+√3/2sin 2x-2(cos^2 x-sin^2 x)
=1/2cos 2x+√3/2sin 2x-2cos 2x
=-3/2cos 2x+√3/2sin 2x
=√3(1/2sin 2x-√3/2cos 2x)
=√3sin(2x-π/3)
已知函数f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)=sin(2x-π/6) ,
已知函数f(x)=sin(2x+π/3)+sin(2x-π/3)+2cos²x-1,x∈R
已知函数f(x)=(√3/2)sinπx+(1/2)cosπx,x∈R
已知函数f(x)=3sin(2x+π/4)+1(x∈R)
化简2sin^2[(π/4)+x]+根号3(sin^x-cos^x)-1
已知函数f(x)=sin²ωx+根号3sinωx乘sin(ωx+π/2)+2cos²ωx,x∈R,(
已知函数 f(x)=sin(x+7/4π)+cos(x-3/4π),x∈R 求f(x)的最小正周期和最小值
已知函数f(x)=sin(π-x)+cos(x+3π),x∈R.
已知函数f(x)=sin(2x+π/6)+sin(2x+π/6)+2cos²x
已知函数f(x)=cos(2x-pi/3)+2sin(x-pi)*sin(x+pi/4)
已知函数为f(x)=cos(2x-π╱3)+2sin(x-π/4)sin(x+π/4)
1.已知函数f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4).注:π是pai.