(1+tanA-cosecA)(1+cotA+SecA)=2

As it is visible that the result is numeric, so we can assign any value to A.

(1+tanA-cosecA)(1+cotA+SecA)=2

Put A=45* on RHS

= (1+1-√2 )(1+1+√2 )

= (2-√2 )(2+√2 )

=(4–2) (Using a2 - b2 = (a + b) (a - b))

=2=LHS