Precalculus Examples

$y = 3 \cot (x - \frac{π}{2})$

Step 1

Set the argument in $\cot (x - \frac{π}{2})$ equal to $π n$ to find where the expression is undefined.

$x - \frac{π}{2} = π n$ , for any integer $n$

Step 2

Add $\frac{π}{2}$ to both sides of the equation.

$x = π n + \frac{π}{2}$

Step 3

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

Set-Builder Notation:

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

Step 4