Math, asked by sesha269, 1 year ago

ifA+B=45 provethat (1+tanA)(1+tanB)=2

Answers

Answered by agrawalkrishna030
5
A+B = 45 
=> tan(A+B) = tan 45 = 1 
=> tanA + tan B = 1 - tanA.tanB 
=> tanA + tanB + tanA.tanB = 1 
Adding 1 on both sides 
=> 1 + tanA + tanB + tanA.tanB = 2 
=> (1+tanA).(1+tanB) = 2 
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