Question

if A+B=45° then(tanA+1)(tanB+1) will be?​

Answer 1

Hello here's your answer:

A+B=45°

so, tan(A+B)= tan45

tanA+tanB/1- tanAtanB=1

tanA+ tanB= 1-tanAtanB

tanA +tanB+ tanAtanB=1

1+tanA +tanB+ tanAtanB=1+1     (adding 1 on both sides)

1(1+tanA) +tanB(1+tanA) =2

(1+tanA)(1+tanB)=2

Thus, (1+tanA)(1+tanB)=2

Hope this cleared your doubt.....

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