Question Factor the trigonometric expression $2 \cot^2 Y + 9 \cot Y + 10$ completely, where $2 \cot^2 Y + 9 \cot Y + 10 = (2 \cot Y + \square)(\cot Y + \square)$.

Studdy Solution
Now, we can write the factored form of the given expression.
$$2 \cot ^{2} Y+9 \cot Y+10 = (2 \cot Y +5)(\cot Y +2)$$This is the factored form of the given expression.