作业帮若f(x)满足2f(-sin x)+3f(sin x)=4sin xcos x(x大于等于负的二分之派,小于等于二分之派）.求f(x).
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 15:32:06
若f(x)满足2f(-sin x)+3f(sin x)=4sin xcos x(x大于等于负的二分之派,小于等于二分之派）.求f(x).
若f(x)满足2f(-sin x)+3f(sin x)=4sin xcos x(x大于等于负的二分之派,小于等于二分之派）.求f(x).
若f(x)满足2f(-sin x)+3f(sin x)=4sin xcos x(x大于等于负的二分之派,小于等于二分之派）.求f(x).
用-x代替x带入原式
把f(sinx)和f(-sinx)当做两个未知数解2元二次方程
2f(sinx)+3f(-sinx)=-4sinxcosx
2f(-sinx)+3f(sinx)=4sinxcosx
乘系数相减把f(-sinx)约下去,得到f(sinx)的关系式,接下来就会解了吧（cosx^2+sinx^2=1)
f（x）=sin（3x-π/4) 若函数f(x)满足方程f(x)=a(0
若f(x)=sinπ/2x,则f(1)+f(2)+f(3)+...+f(2012)+f(2013)=
若f(x)满足2f(-sin x)+3f(sin x)=4sin xcos x(x大于等于负的二分之派,小于等于二分之派）.求f(x).
若f(x)满足f(x)-2f(1/x)=x,则f(x)=?
若F(x)满足f(x)+2f(1/x)=x,则f(x)=
已知f(x)满足2f(x)+f(1/x)=3x,求f(x)
F(X)满足F(x)+2f(x分之1)=3X,求f(x)
已知f(x)满足2f(x)+f(1/x)=3x,求f(x)?
已知f(x)满足2f(x)+f(-x)=-3x+1,求f(x)
已知f(x)满足f(x)+2f(1/x)=3x,求f(x) ,
若函数f(x)满足f(x)-2f(1/x)=3x+2,则f(x)为?
若f(x)满足3f(x)-2f(-x)=2x,求函数f(X)的解析式
若f(x)满足3f(x)-2f(-x)=2x,求函数f(x)的解析式.
若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=?
若f(x)满足3f(x)-2f(-x)=2x,f（x）的解析式.
若函数f(x)满足关系式f(x) 2f(1/x)=3x,则f(x)=
若函数f(x)满足3f(x)+2f(-1/x)=4x,求f(x)
若函数f(x)满足2f(x)-3f(-x)=4x,求f(x)