Tough Trig Simplification (1 Viewer)

[currysauce]

(1+cot x /cosec x) - (sec x / tan x + cot x)

 

[FinalFantasy]

(1+cot x /cosec x) - (sec x / tan x + cot x)

do u mean ((1+cotx)\cosecx)-(secx\(tanx+cotx))?
or do u mean what u wrote there?
if u mean wat u wrote...
(1+cotx\cosecx)-(secx\tanx+cotx)
=(1+cosx\sinx*sinx) - (1\cosx * cosx\sinx +cosx\sinx)
=1+cosx-(1\sinx+cosx\sinx)
=1+cosx-cosecx-cotx
if u mean ((1+cotx)\cosecx)-(secx\(tanx+cotx))
then
((1+cotx)\cosecx)-(secx\(tanx+cotx))
=(sinx+cosx)-(1\cosx)\(sinx\cosx+cosx\sinx)
=sinx+cosx-(1\cosx)\(sin²x+cos²x)\sinxcosx
=sinx+cosx-sinx=cosx