Question

sec a-tan a/sec a+tan a=1+2tansq a -2sec atan a

Answer 1

LHS:-

=>secA-tanA/secA+tanA

Rationalising the Fraction

=>(secA-tanA/secA+tanA)×(secA-tanA/secA-tanA)

=>(secA-tanA)^2/sec^2A-tan^2A

=>sec^2A+tan^2A+2tanAsecA/sec^2A-tan^2A

=>1+tan^2A+tan^2A+2tanAsecA/1+tan^2A-tan^2A

=>1+2tan^2A+2tanAsecA