Question

please solve the problem​

Answer 1

Answer:

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GIVEN:

A + B= 45°

TO PROVE :

( 1+ Tan A) (1+ Tan B) = 2

PROOF :

➡ A + B = 45°

➡ Tan (A+B) = Tan 45°

➡ Tan A + Tan B/1 - Tan A. Tan B =1

➡ Tan A + Tan B = 1 - Tan A. Tan B

➡ Tan A + Tan B + Tan A. Tan B=1

➡ 1 + Tan A + Tan B + Tan A. Tan B= 1 + 1

( Adding 1 on both sides...)

➡ 1 ( 1 + Tan A) + Tan B( 1 + Tan A) =2

➡ ( 1 + Tan A) ( 1 + Tan B) =2

HENCE IT IS PROVED........

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Step-by-step explanation:

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