Mark the correct alternative in the following: If A – B = π /4, then (1 + tan A) (1 – tanB) is equal to

Question

Philoid · Accepted Answer

1+tan A tan B=tan A-tan B

tan A-tan B-tan A tan B=1

add both side 1

1+tan A-tan B-tan A tan B=1+1

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

Case2:

put A=0 AND

(1+tan A )(1-tan A )=1× 2