tana=3tanb,0≤b

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tana=3tanb,0≤btana=3tanb,0≤btana=3tanb,0≤btana=3tanb,且a,b属于[0,π/2),a>b,tanb>0tan(a-b)=(tana-tanb)/(1

tana=3tanb,0≤b
tana=3tanb,0≤b

tana=3tanb,0≤b
tana=3tanb,且a,b属于[0,π/2),
a>b,tanb>0
tan(a-b)
=(tana-tanb)/(1+tanatanb)
=2tanb/(1+3tan²b)
1+3tan²b>=2√3*tanb
所以,
tan(a-b)
=2tanb/(1+3tan²b)