Answer
$ 15\sin\theta\cos\theta -12\sin\theta -10\cos\theta +8$
Work Step by Step
Given expression is-
$ (3\sin\theta-2) (5\cos\theta-4)$
= $ 3\sin\theta . 5\cos\theta +3\sin\theta .(-4) -(2) 5\cos\theta +8$
( By FOIL method)
= $ 15\sin\theta\cos\theta -12\sin\theta -10\cos\theta +8$
