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 Math Central Quandaries & Queries
 Question from Ameen, a student: Find the domain of: f(x) = cos2x/(sinx-2)

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

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