Find the product (3coty+1)(cot y-2)

The product of (3coty+1)(cot y-2) is:

3cot^2 y - 6cot y + cot y - 2.

-6 + 1 = -5

so
3 cot^2 y - 5 cot y - 2

Apologies for the mistake in the previous response. You are correct. The correct product of (3coty+1)(cot y-2) is:

3 cot^2 y - 5 cot y - 2.