QuestionFind $\cos (\theta)$ given $\sin (\theta)<0$ and $\cot (\theta)=\frac{9}{2}$. Provide an exact answer.

Studdy Solution
Since we know that $\cos (\theta)$ is negative, we take the negative square root.
$$\cos (\theta) = -\sqrt{\frac{77}{81}}$$The exact value of $\cos (\theta)$ is $-\sqrt{\frac{77}{81}}$.