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Chapter 6: Q 102 (page 396)

What is the range of the cosine function?

Short Answer

Expert verified

The range of cosine function is :-

-1to1

Step by step solution

01

Step 1. Given Information

We have to find the range of a cosine function.

The range of a function is the set of its possible output values.

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

02

Step 2. Graph of Cosine function 

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

03

Step 3. Analyzing Range

We draw the graph of cosine function as following :-

We can see that all the values of yfor all values of xlies between -1and 1.

So we can conclude that range of cosine function is-1to1.

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Most popular questions from this chapter

In the problem, sdenotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.

θ=13radian, s=2 feet , r=?

Write the equation of a sine function that has the given characteristics.

Amplitude: 4

Period:1

Use the graph of the function to determine the domain and the range of function

y=csc(3π2x)

Convert angle in radian to degree-

π3

Convert angle in radian to degree-

-5π4
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