若tana=3 tan(a-b)=4/3,则tanb=_其他解答

若tana=3 tan(a-b)=4/3,则tanb=

人气：351 ℃　时间：2020-02-06 04:47:29

解答

tanb=tan[a-(a-b)]
=[tana-tan(a-b)]/[1+tana*tan(a-b)]
=[3-(4/3)]/(4+1)
=(5/3)/5
=1/3