x=a(t-sint),y=a(1-cost),请构造关于x,y的二元函数f(x,y),使得f(x,y)

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x=a(t-sint),y=a(1-cost),请构造关于x,y的二元函数f(x,y),使得f(x,y)

x=a(t-sint),y=a(1-cost),请构造关于x,y的二元函数f(x,y),使得f(x,y)
x=a(t-sint),y=a(1-cost),请构造关于x,y的二元函数f(x,y),使得f(x,y)

x=a(t-sint),y=a(1-cost),请构造关于x,y的二元函数f(x,y),使得f(x,y)
4a[1-cos(t/2)]=8a[sin(t/4)]^2
1-cost=2[sin(t/2)]^2
sint=2sin(t/2)cos(t/2)
tan(t/2)=(1-cost)/sint
cot(t/2)=sint/(1-cost)
[sin(t/2)]^2=1/[1+[cot(t/2)]^2]=(1-cost)^2/[(sint)^2+(1-cost)^2]
(1-cost)^2/[[(t-sint)+(1-cost)]^2]