tan[2tan^-1 (1/2)]等于多少,

问题描述:

tan[2tan^-1 (1/2)]等于多少,
tan[2tan^-1 (1/3)]呢?

用tan二倍角公式,令α=tan^-1 (1/2),则tanα=1/2,tan[2tan^-1 (1/2)]=2×1/2÷(1-1/4)=4/3
tan[2tan^-1 (1/3)]同理.