Question

help me guys in this question

Answer 1

Answer :

Option (3) - 2.

Explanation:

Given A + B = 225.

         Multiply with tan on both sides, we get

Tan(A + B) = tan 225

Tan(A + B) = tan(180 + 45)

Tan(A + B) = Tan 45

Tan(A + B) = 1.

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)

Given (1 + Tan A)(1 + Tan B)

          = 1 + Tan B + Tan A + Tan A Tan B

          = 1 + 1

          = 2.

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


Hope this helps!