Prove that

To prove: tan( )+ tan( ) = 2secx

Proof: Consider, L.H.S = tan( )+ tan( )

tan( )+ tan( ) = +

()

= +

= +

= +

=

By Expanding the numerator we get,

= ()

tan( )+ tan( ) = 2secx = R.H.S

since L.H.S = R.H.S, Hence proved.