Set the argument in equal to to find where the expression is undefined.

, for any integer

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

Set-Builder Notation:

, for any integer

Find the magnitude of the trig term by taking the absolute value of the coefficient.

The lower bound of the range for cosecant is found by substituting the negative magnitude of the coefficient into the equation.

The upper bound of the range for cosecant is found by substituting the positive magnitude of the coefficient into the equation.

The range is or .

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

Domain:

Range:

Find the Domain and Range y=csc(x)