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Chapter 6: Q 106 (page 396)

What is the range of the cosecant function?

Short Answer

Expert verified

The range of cosecant function is :-

(-鈭�,-1]鈭�[1,鈭�).

Step by step solution

01

Step 1. Given Information  

We have to find the range of a cosecant function.

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

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

02

Step 2. Graph of Cosecant function     

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

03

Step 3. Analyzing Range 

We draw the graph of cosecant function as following :-

We can see that all the values of yfor all values of xare lies from (-鈭�,-1]and [1,鈭�).

So we can conclude that range of secant function is (-鈭�,1]鈭�[1,鈭�).

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