Question

( sinA - cosec A ) ( 1+ tanA + cotA ) = tanA * secA - cotA * cosecA

Answer 1

L.H.S.
(sinA - 1/sinA) ( 1+ tanA +1/tanA)
= (Sin^2A - / sinA) (1+ tan^2A +1/tanA )
=(cos^2A/sinA )(1+ sec^2A/tanA )
=(cot A * cosecA) - ( tanA * secA )
multiplying with -1 on both sides
=( tanA * secA ) - (cot A * cosecA)
= R.H.S