Hi Ameen,

Since the domains of $\sin(x)$ and $\cos(x)$ are the entire real line the only possible real number $x$ not in the domain of

\[f(x) = \frac{\cos(2x)}{\sin(x) - 2}\]

is an $x$ that makes $\sin(x) - 2 = 0.$ For what value of $x$ is $\sin(x) - 2 = 0?$

Penny