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Chapter 6: Q 104 (page 396)

What is the range of the cotangent function?

Short Answer

Expert verified

The range of cotangent function isall real numbers.

Step by step solution

01

Step 1. Given Information 

We have to find the range of a cotangent function.

The range of a function isthe set of its possible output values.

We will draw a graph of cotangent function using graphing utility, then calculate its range.

02

Step 2. Graph of Cotangent function   

By using graphing utility we can draw the graph of cotangent function as following :-

03

Step 3. Analyzing Range  

We draw the graph of cotangent function as following :-

We can see that all the values of yfor all values of xare lies all over the real line.

So we can conclude that range of cotangent function is all real numbers.

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