tan a+tan b=tan(a+b)-tan a tan b tan(a+b)怎么证明

2025-04-30 17:39:08
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回答1:

因为:tan(a + b) = ( tana + tanb)/(1 - tana*tanb)
所以 tan(a + b)( 1 - tana * tanb) = tana + tanb
tan(a + b) - tana * tanb * tan(a + b) = tana + tanb
即: tana + tanb = tan(a +b) - tana * tanb * tan(a + b)