Trigonometry Examples

$arccsc (x)$

Step 1

Set the argument in $arccsc (x)$ less than or equal to $- 1$ to find where the expression is defined.

$x \leq - 1$

Step 2

Set the argument in $arccsc (x)$ greater than or equal to $1$ to find where the expression is defined.

$x \geq 1$

Step 3

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

Interval Notation:

$(- \infty, - 1] \cup [1, \infty)$

Set-Builder Notation:

${x | x \leq - 1, x \geq 1}$

Step 4