Question

please answer this...

Answer 1

$LHS=\frac{cosecA}{cosecA-1}+ \frac{cosecA}{cosecA+1}$

$= \frac{cosec^2A+cosecA+cosec^2A-cosecA}{(cosecA+1)(cosecA-1)}$

$= \frac{2cosec^2A}{cosec^2A-1}$

Dividing by cosec²A in numerator and denominator

$= \frac{2}{1-Sin^2A}$

$= \frac{2}{cos^2A}$

$= 2Sec^2A$

$= 2(1+tan^2A)$

$= 2+2tan^2A = RHS$

HOPE THIS HELPS!!