Question

if A-B=pi/4

then (1 + tan A) (1 – tan B) =


(A) 4
(C) 1
(B) 3
(D) 2.​

Answer 1

Answer:

so easy bhai..

firstly take the equation given in the question.

A=pie/4-B

=>tanA=tan(pie/4-B)

=>tanA=tanpie/4-tanB/1+tanpie/4×tanB

=>tanA=1-tanB/1+tanB------1)

using1:

we have ,,(,1+tanB+1-tanB/1+tanB) (1-tanB)

=>2tanA...