(tan x+cotx)/sec sqd x
= (tanx+(1/tanx))/(1+tan sqd x)
= ((tan sqd x+1)/(tan x)(1+tan sqd x)
= 1/tan x
= cot x
= (tanx+(1/tanx))/(1+tan sqd x)
= ((tan sqd x+1)/(tan x)(1+tan sqd x)
= 1/tan x
= cot x