Trigonometry Examples

$f (x) = - \tan (x + 7) - 6$

Step 1

Set the argument in $\tan (x + 7)$ equal to $\frac{π}{2} + π n$ to find where the expression is undefined.

$x + 7 = \frac{π}{2} + π n$ , for any integer $n$

Step 2

Subtract $7$ from both sides of the equation.

$x = \frac{π}{2} + π n - 7$

Step 3

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

Set-Builder Notation:

${x | x \neq \frac{π}{2} + π n - 7}$ , for any integer $n$

Step 4