tan[arctan(-根号3/3)] 和 arctan(tan3兀/4)

问题描述:

tan[arctan(-根号3/3)] 和 arctan(tan3兀/4)

tan[arctan(-√3/3)]
tan(-π/6)=-√3/3
所以
tan[arctan(-√3/3)]=tan(-π/6)=-√3/3
arctan(tan3π/4)=arctan(-1)=-π/4