若A+B=-π⼀4,则(tanA-1)(tanB-1)=?要过程拜托各位大神

2025-05-07 22:44:47
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回答1:

由A+B=-π/4 tan(A+B)=-1 即(tanA+tanB)/(1-tanA*tanB)=-1 tanA+tanB=tanA*tanB-1 (tanA-1)(tanB-1)=tanA*tanB-(tanA+tanB)+1 =tanA*tanB-(tanA*tanB-1)+1 =tanA*tanB-tanA*tanB+1+1 =2