The trigonometric expression (sin๐œƒ-tan๐œƒ (cos๐œƒ-cot๐œƒ) can be shown to be identical to which of the followings?

(A) 1/2๐‘ ๐‘–๐‘›2๐œƒ โˆ’ 1 (B) 1 (C) (๐‘ ๐‘–๐‘›๐œƒ โˆ’ 1)(๐‘๐‘œ๐‘ ๐œƒ โˆ’ 1) (D) ๐‘ ๐‘–๐‘›๐œƒ๐‘๐‘œ๐‘ ๐œƒ โˆ’ 1

(sin๐œƒ-tan๐œƒ) (cos๐œƒ-cot๐œƒ)

sin๐œƒ(1-1/cos๐œƒ) * cos๐œƒ(1 - 1/sin๐œƒ)
so, C