221k views
5 votes
How do you simplify cscx*secx-tanx?

User Wonton
by
8.3k points

1 Answer

3 votes
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
User Binyamin Even
by
8.4k points