构造函数,利用导数=0,函数为常数证明
过程如下图:
tan[arctan(1+x)]=1+xtan[arctan(1-x)]=1-x所以tan[arctan(1+x)+arctan(1-x)]=[(1+x)+(1-x)]/[1-(1+x)(1-x)]=tan1/4π=1所以2/x^2=1x^2=2arccos(x/2)=arccos(±√2/2)arccos(√2/2)=1/4π arccos(-√2/2)=3/4π