Types Of Sets

Step 1: Expression for the range.
The function is of the form: The range of this function depends on the values of , which varies depending on .
Step 2: Find the minimum and maximum values of the denominator.
The expression is a linear combination of sine and cosine functions. To find its range, we first find its maximum and minimum values. The maximum and minimum of is given by: In our case, and , so: Thus, the range of is:
Step 3: Range of .
Since , the range of will be the reciprocal of the range of , which is: Thus, the range of is .
Final Answer: .