1/cosecx-1-1/cosecx+1= 2tan^2x
-
(1/cosecx-1)-(1/cosecx+1) =2tan^2x
Cross multiply
(Cosecx +1) - (cosecx -1)/ ( cosec^2-1)
2/ 1/sin^2x -1 = 2/ 1-sin^2x/sin^2x
2sin^2x /1-sin^2x = Since 1 =sin^2x+cos^2x
2sin^2x/cos^2x
2tan^2x
Cross multiply
(Cosecx +1) - (cosecx -1)/ ( cosec^2-1)
2/ 1/sin^2x -1 = 2/ 1-sin^2x/sin^2x
2sin^2x /1-sin^2x = Since 1 =sin^2x+cos^2x
2sin^2x/cos^2x
2tan^2x