Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Trigonometric Identities
Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.
Inverse Trigonometric Functions
Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosi…
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Chapter 5.1, Problem 123E
To determine

Tograph:The given function for two full periods.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information:

The given function:

  f(x)=−sinπx−1

Graph:

As per problem,

Calculate the time period:

The time period of a sine function of the form y=asinbx :

  Period=2πb

Here,

  b=πPeriod=2ππ=2s

Therefore the time period of the function is 2s .

Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expressions y=−sinπx−1 , which is required to graph.

Step 4: Press GRAPH button to graph the function.

  Precalculus with Limits: A Graphing Approach, Chapter 5.1, Problem 123E

Interpretation: From the graph, the following can be concluded:

The graph obtained is a sine curve.

The amplitude = −1 , the time period of one cycle = 2s .

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Chapter 5.1, Problem 122E
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Chapter 5.1, Problem 124E

Chapter 5 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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