9) sec(-θ)=sec(θ) because cos(-θ)=cos(θ). But θ is in Q3 where cos is negative so the sign is A) negative.
10) cot(θ+180) has the same sign as tan(θ+180)=tan(θ), which is negative because θ is in Q4 where tan(θ) is negative. So A) negative.
11) cos(θ+180)=-cos(θ). When θ is in Q2 cos(θ) is negative. So negative negative makes positive and in this case the answer is A) positive.