已知tan(a-兀/4)=3,求tana

问题描述:

已知tan(a-兀/4)=3,求tana

tan(a-π/4)=3
(tana-tanπ/4)/(1+tanatanπ/4) = 3
(tana-1)/(1+tana) = 3
tana-1=3+3tana
2tana=-4
tana=-2