Question

If tanA+sinA=m,tanA-sinA=n then prove that m sq -n sq=4√mn.

Answer 1

m sq-n sq= (tanA+sinA)sq-(tanA-sinA) sq
=tanA sq+sinA sq+2tanAsinA-tanAsq
-sinA sq+2tanAsinA
=4tanAsinA
=4rot mn

Answer 2

[in last :- it's 4tanAsinA]
hence,LHS=RHS
proved.