将f(x)=cos(x/4+π/3)sin(x/4-π/2)化成标准三角函数
来源:学生作业帮 编辑:神马作文网作业帮 分类:综合作业 时间:2024/11/10 19:19:09
将f(x)=cos(x/4+π/3)sin(x/4-π/2)化成标准三角函数
f(x)=cos(x/4+π/3)sin(x/4-π/2)
=-cos(x/4+π/3)cos(x/4)
=-[cos(x/4)cos(π/3)-sin(x/4)six(π/3)]cos(x/4) (拆分)
=-[1/2cos(x/4)-√3/2sin(x/4)]cos(x/4) (把cos乘进去)
=-[1/2cos(x/4)cos(x/4)-√3/2sin(x/4)cos(x/4)]
=-[1/4cos(x/2)+1/4-√3/4sin(x/2)]
=√3/4sin(x/2)-1/4cos(x/2)-1/4 (去负号)
=1/2[√3/2sin(x/2)-1/2cos(x/2)]-1/4
=1/2[cos(π/6)sin(x/2)-sin(π/6)cos(x/2)]-1/4
=1/2sin(x/2-π/6)-1/4
=-cos(x/4+π/3)cos(x/4)
=-[cos(x/4)cos(π/3)-sin(x/4)six(π/3)]cos(x/4) (拆分)
=-[1/2cos(x/4)-√3/2sin(x/4)]cos(x/4) (把cos乘进去)
=-[1/2cos(x/4)cos(x/4)-√3/2sin(x/4)cos(x/4)]
=-[1/4cos(x/2)+1/4-√3/4sin(x/2)]
=√3/4sin(x/2)-1/4cos(x/2)-1/4 (去负号)
=1/2[√3/2sin(x/2)-1/2cos(x/2)]-1/4
=1/2[cos(π/6)sin(x/2)-sin(π/6)cos(x/2)]-1/4
=1/2sin(x/2-π/6)-1/4
将f(x)=sin四次方+cos四次方化成标准三角函数
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+/4π) 三角函数
有关三角函数的题目f(x)=2sin(π/4+x/2)*cos(π/4+x/2)+asinx
三角函数已知f(x)=(2cos^4x—2cos²x+1/2)/(2tan(π/4—x)sin²(x
三角函数已知P(-4,3) 求(cos((π/2)+x)sin(-π-x))/(cos((11π/2)-x)sin((9
化简下面的三角函数f(x)=sin^2x+2√3sin(x+∏/4)cos(x-∏/4)-cos^2-√3
将根号3sinx-cosx+2cos(x-π/6)化成一个角的三角函数式
已知函数f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)
已知函数f(x)=sin^2*x-根号3*sinπ/4*x*cosπ/4*x
化解三角函数F(x)=sin平方x+根号3sinxcosx+2cos平方x
已知函数f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3,且g(x)=f(x+π/
求化简f(x)=sin^2x+2根号3sin(x+π/4)cos(x-π/4)-cos^2x-根号3