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Chapter 6: Q 101 (page 396)

What is the range of the sine function?

Short Answer

Expert verified

The range of the sine function is :-

-1to1.

Step by step solution

01

Step 1. Given Information

We have to find the range of a sine function.

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

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

02

Step 2. Graph of Sine function

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

03

Step 3. Analyzing Range

We draw the following graph of Sine function :-

We can see that the all values of yfor all values of x, lies between -1and 1.

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

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Most popular questions from this chapter

In Problems 13–20, Px,yis the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.

12,-32.

find the value of the remaining five trigonometric functions of ϑ

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Amplitude:2

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

r=6feet, θ=2radians, s=?

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

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