Question

How do you simplify (1+ tanx) / (1- tanx)?​

Answer 1

Step-by-step explanation:

Solution

We know that

tan(A+B)=tanA+tanB / 1−tanAtanB

tan(π4)=1

Hence 1+tanx / 1−tanx

= tan(π4)+tanx / 1−tan(π4)tanx [as tan(π4)=1]

= tan(x+π4)

1+tan x/ 1−tan x= tan (x+π4)

Answer 2

Step-by-step explanation:

by using identity, (a+b)(a-b)=a^2-b^2

=1-tan^2x

=cot^2x