Question

( 1 + TanA)^2 + ( 1 - tan A ) ^2 ÷ ( 1+ cotA)^2 + ( 1 - CotA )^2 = tan ^2A​

Answer 1

Step-by-step explanation:

.....(1+TanA)^2 +(1-TanA)^2 = (1+2 tanA+tanA^2) +(1-2tanA+tanA^2) = 1+2tanA^2

.....as above (1+cotA)^2 +(1-CotA)^2 is 1+2cotA^2

1+2tanA^2/1+CotA^2 =(1+2tanA)/(1+2/tan^2A)

=(1+2tanA)tan^2A/(tan^2A+1)

=tanA^2