Math, asked by hjustgoyou, 1 year ago

which is the correct option...? and also explain it.....

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Answers

Answered by Avijith
3
This is a clear explanation
,For your question in the comment Here Tan (A + B )is a formula ,we can use it to see that solving it further will give the equation we are requesting

Please Comment If you have A doubt

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Avijith: i have given it in the answer now
Anonymous: it is crrt u Can go with it
Anonymous: hmm
Avijith: yes
Avijith: b is correct
Answered by Anonymous
0
HEY Buddy....!! here is ur answer

Given that... A+B = π/4

On taking 'tan' both the sides....

tan(A+B) = tan π/4 [ tan π/4 = 1 ]

(tanA+tanB)/(1–tanAtanB) = 1

{ As we know that, tan(A+B)=(tanA+tanB)/(1-tanAtanB) }

=> tanA+tanB = 1-tanAtanB

On adding 1 both the side....

=> 1+tanA+tanB = 1+1-tanAtanB

=> 1+tanA+tanB+tanAtanB = 2

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

=> (1+tanA)(1+tanB) = 2 <<< Ans.

I hope it will be helpful for you....!!

THANK YOU ✌️✌️

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