Question

How do you simplify cscx*secx-tanx?

Answer 1

Csc x · sec x - tan x = 
= 1 / sin x · 1 / cos x - sin x / cos x = 
= 1 / sinx cos x - sin² x / sin x cos x = 
= ( 1 - sin² x ) / (sin x cos x) =
=  cos² x / ( sin x cos x ) = 
= cos x / sin x = cot x