Factor the expressions and use the fundamental identities to simplify
1. 5 sin^2 x csc^2 x − 5 sin^2 x
2. 2 sec^3 x − 2 sec^2 x − 2 sec x + 2
stupid canned answers yet again
5 sin^2 x csc^2 x − 5 sin^2 x
5sin^2 x (csc^2 x - 1)
-5sin^2 x cot^2 x
-5cos^2 x
2 sec^3 x − 2 sec^2 x − 2 sec x + 2
2(sec^3 x − sec^2 x − sec x + 1)
2(sec^2x (secx-1) - (secx-1))
2(sec^2x-1)(secx - 1)
Answer:
1. 5 sin^2 x (1 - csc^2 x)
2. 2 (sec^2 x - sec x + 1)(sec x - 1)