How do you simplify cscx*secx-tanx?
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
