QuestionFind $\sin \theta$ given $\csc \theta = \frac{\sqrt{28}}{4}$. Rationalize denominators if needed.

Studdy Solution
We can simplify the $\sqrt{28}$ to $2\sqrt{7}$, and the fraction to $\frac{2}{7}$.
$$\sin \theta = \frac{2\sqrt{7}}{7}$$So, the exact value of $\sin \theta$ for the given value of $\csc \theta$ is $\frac{2\sqrt{7}}{7}$.