Question

20. (sec^2)A×(cosec^2)A=(tan^2)A+(cot^2)A+2​

Answer 1

Answer:

Here is answer to your question.  

LHS

=tan^2 A + cot^2 A +2

=sec^2 A-1+cosec^2 A-1+2

=sec^2 A+cosec^2 A

=1/cos^2 A+1/sin^2 A

=(sin^2 A+cos^2 A)/cos^2 A.sin^2 A

= sec^2 A.cosec^2 A    (sin^2x+cos^2x=1)

=RHS