Precalculus Examples

$2 \sec^{2} (θ) = \frac{1}{1 - \sin (θ)} + \frac{1}{1 + \sin (θ)}$

Step 1

Set the argument in $\sec (θ)$ equal to $\frac{π}{2} + π n$ to find where the expression is undefined.

$θ = \frac{π}{2} + π n$ , for any integer $n$

Step 2

The domain is all values of $θ$ that make the expression defined.

Set-Builder Notation:

${θ | θ \neq \frac{π}{2} + π n}$ , for any integer $n$

Step 3