Question

cscx- cotx / sec x -1= cot x

Answer 1

can you post your question once again propoerly...

Answer 2

is it
(cosecx - cotx)/(ssecx-1)
if so change all in terms of sinx and cos x

Answer 3

cosec x - cotx = 1/sinx -cosx/sinx=(1-cosx)/sinx

Answer 4

also
secx -1 =1/cosx -1 =(1-cosx)/cosx

Answer 5

hence
(cosecx - cotx)/(ssecx-1)
= (1-cosx)/sinx / (1-cosx)/cosx
=cosx/sinx
=cotx