cos(x)=4x/3,求x的值(x为弧度制)

问题描述:

cos(x)=4x/3,求x的值(x为弧度制)

y=cosx-4x/3
y'=-sinx-4/3
用牛顿法
x(n+1)=xn-(cosx-4x/3)/(-sinx-4/3)
令x0=1
x1=0.6354
x2=0.6134
x3=0.6133
所以x=0.613