ADDITIONAL MATHEMATICS QUESTION

Prove that

sin A 1 + cos A
--------- + ------------ = 2 cosec A.
1 + cos A sin A

L.H.S =
2 2
sin A+1+cos A+2cos A
-------------------------------
( 1+cosA)sinA

= 2+2cosA
-----------------
( 1+cosA)sinA

2
=---------------
sin A