Verify (cos x sec x tan x )= (sec^2x cot^2x tanx )/csc^2x

(cos x/cos x * tan x) = (1/cos^2x * cos^2x/sin^2x * tan x) * sin^2x

tan x = tan x

(cos x sec x tan x )= (sec^2x cot^2x tanx )/csc^2x
cos / sec cancel
tan x = (sec^2x cot^2x tanx )/csc^2x
1/ csc ^2x=sin^2x
tan x = (sec^2x cot^2x tanx )(sin^2x)
cot^2x = cos^2x / sin ^2x
tan x = (sec^2x cos^2x tanx )
sec^2x = 1/cos^2x
tanx = tanx