Question

If A + B = 45◦ ,then the value of (1 + tan A) (1 + tan B) is

(a) 2

(b) 1

(c) -1

(d) 0​

Answer 1

Answer:

(a) 2 is the correct option

Answer 2

answer 2

explanation:-

A+B=45

tan (A+B)=tan 45=1

tan A+tanB/1-tan A tan B =1

tan A+tan B=1-tan A tan B+1-1=tan A + tan B +tan A tan B +1=2

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

let A=B=A=22 1/2

(1+tan 22 1/2)^2=2

hence proved ,tan 22 1/2