tan29°+tan31°+√3tan29°tan31°

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tan29°+tan31°+√3tan29°tan31°tan29°+tan31°+√3tan29°tan31°tan29°+tan31°+√3tan29°tan31°tan(a+b)=(tana+t

tan29°+tan31°+√3tan29°tan31°
tan29°+tan31°+√3tan29°tan31°

tan29°+tan31°+√3tan29°tan31°
tan(a+b)=(tana+tanb)/(1-tanatanb)
tana+tanb=(1-tanatanb)tan(a+b)
tan29°+tan31°+√3tan29°tan31°
=(1-tan29°tan31°)*tan(29+31°)+√3tan29°tan31°
=√3