Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
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Chapter 4, Problem 44RE

(a)

To determine

To graph: The following data for a two-year interval.

JanFebMarAprMayJunJulAugSeptOctNovDec60.861.758.854.951.147.145.546.849.552.255.058.8

(b)

To determine

A model for the two-year interval using sine regression.

(c)

To determine

To graph: The equation y=7.67sin(0.52x+0.89)+53.60_ together with the following data on the same coordinate axis.

JanFebMarAprMayJunJulAugSeptOctNovDec60.861.758.854.951.147.145.546.849.552.255.058.8

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Chapter 4 Solutions

Trigonometry (11th Edition)

Ch. 4.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.1 - 5. The least positive number x for which cos x =...Ch. 4.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.1 - Concept Check Match each function with its graph...Ch. 4.1 - Concept Check Match each function with its graph...Ch. 4.1 - Concept Check Match each function with its graph...Ch. 4.1 - Concept Check Match each function with its graph...
Ch. 4.1 - Concept Check Match each function with its graph...Ch. 4.1 - Concept Check Match each function with its graph...Ch. 4.1 - Graph each function over the interval [ –2π, 2π]....Ch. 4.1 - Graph each function over the interval [ 2, 2]....Ch. 4.1 - Graph each function over the interval [2, 2]. Give...Ch. 4.1 - Graph each function over the interval [–2π, 2π]....Ch. 4.1 - Graph each function over the interval [2,2]. Give...Ch. 4.1 - Graph each function over the interval [–2π,2π]....Ch. 4.1 - Graph each function over the interval [–2 π,2π]....Ch. 4.1 - Graph each function over the interval [–2π,2π]....Ch. 4.1 - Graph each function over the interval [2,2 ]. Give...Ch. 4.1 - Prob. 22ECh. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Graph each function over a two-period interval....Ch. 4.1 - Connecting Graphs with Equations Determine an...Ch. 4.1 - Connecting Graphs with Equations Determine an...Ch. 4.1 - Connecting Graphs with Equations Determine an...Ch. 4.1 - Connecting Graphs with Equations Determine an...Ch. 4.1 - Connecting Graphs with Equations Determine an...Ch. 4.1 - Connecting Graphs with Equations Determine an...Ch. 4.1 - Average Annual Temperature Scientists believe that...Ch. 4.1 - Blood Pressure Variation The graph gives the...Ch. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Activity of a Nocturnal Animal Many activities of...Ch. 4.1 - 55. Atmospheric Carbon Dioxide At Mauna Loa....Ch. 4.1 - Atmospheric Carbon Dioxide Refer to Exercise 55....Ch. 4.1 - 57. Average Daily Temperature The temperature in...Ch. 4.1 - 58. Fluctuation in the Solar Constant The solar...Ch. 4.1 - Musical Sound Waves Pure sounds produce single...Ch. 4.1 - Musical Sound Waves Pure sounds produce single...Ch. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.2 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.2 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.2 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 4.2 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 4.2 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.2 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.2 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.2 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 4.2 - Concept Check Match each function with its graph...Ch. 4.2 - Concept Check Match each function with its graph...Ch. 4.2 - Concept Check Match each function w ith its graph...Ch. 4.2 - Concept Check Match each function w ith its graph...Ch. 4.2 - Concept Check Match each function with its graph...Ch. 4.2 - Concept Check Match each function with its graph...Ch. 4.2 - Concept Check Match each function with its graph...Ch. 4.2 - Concept Check Match each function with its graph...Ch. 4.2 - The graphs of y = sin x + 1 and y = sin(x + 1) are...Ch. 4.2 - Concept Check Refer to Exercise 17. Which one of...Ch. 4.2 - Concept Check Match each function in Column I...Ch. 4.2 - Concept Check Match each function in Column I with...Ch. 4.2 - Concept Check Match each function in Column I...Ch. 4.2 - Concept Check Match each function in Column I with...Ch. 4.2 - Concept Check Fill in each blank with the word...Ch. 4.2 - Prob. 24ECh. 4.2 - Connecting Graphs with equations Each function...Ch. 4.2 - Connecting Graphs with Equations Each function...Ch. 4.2 - Connecting Graphs with Equations Each function...Ch. 4.2 - Prob. 28ECh. 4.2 - Find the amplitude, the period, any vertical...Ch. 4.2 - Find the amplitude, the period, any vertical...Ch. 4.2 - Find the amplitude, the period, any vertical...Ch. 4.2 - Find the amplitude, the period, any vertical...Ch. 4.2 - Find the amplitude, the period, any vertical...Ch. 4.2 - Find the amplitude, the period, any vertical...Ch. 4.2 - Find the amplitude, the period, any vertical...Ch. 4.2 - Find the amplitude, the period, any vertical...Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a one-period interval....Ch. 4.2 - Graph each function over a one-period interval....Ch. 4.2 - Graph each function over a one-period interval....Ch. 4.2 - Graph each function over a one-period interval....Ch. 4.2 - Graph each function over a one-period interval....Ch. 4.2 - Graph each function over a one-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Graph each function over a one-period interval....Ch. 4.2 - Graph each function over a one-period interval....Ch. 4.2 - Prob. 60ECh. 4.2 - Average Monthly Temperature The average monthly...Ch. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 1QCh. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Prob. 3QCh. 4.2 - Prob. 4QCh. 4.2 - Prob. 5QCh. 4.2 - Graph each function over a two-period interval....Ch. 4.2 - Prob. 7QCh. 4.2 - Prob. 8QCh. 4.2 - Prob. 9QCh. 4.2 - Prob. 10QCh. 4.2 - Prob. 11QCh. 4.2 - Prob. 12QCh. 4.3 - 1. The least positive value x for which tan x = 0...Ch. 4.3 - The least positive value x for which cot x = 0 is...Ch. 4.3 - Concept Check Fill in each blank with the word...Ch. 4.3 - Concept Check Fill in each blank with the word...Ch. 4.3 - The negative value k with the greatest value for...Ch. 4.3 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 4.3 - Concept Check Match each function with its graph...Ch. 4.3 - Concept Check Match each function with its graph...Ch. 4.3 - Concept Check Match each function with its...Ch. 4.3 - Concept Check Match each function with its graph...Ch. 4.3 - Concept CheckMatch each function with its graph...Ch. 4.3 - Concept Check Match each function with its graph...Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period...Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a one-period interval....Ch. 4.3 - Graph each function over a two-period interval....Ch. 4.3 - Graph each function over a two-period interval....Ch. 4.3 - Graph each function over a two-period...Ch. 4.3 - Graph each function over a two-period...Ch. 4.3 - Graph each function over a two-period interval....Ch. 4.3 - Graph each function over a two-period interval....Ch. 4.3 - Prob. 31ECh. 4.3 - Graph each function over a two-period interval....Ch. 4.3 - Graph each function over a two-period interval....Ch. 4.3 - Prob. 34ECh. 4.3 - Graph each function over a two-period interval....Ch. 4.3 - Prob. 36ECh. 4.3 - Graph each function over a two-period interval....Ch. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Concept Check Decide whether each statement is...Ch. 4.3 - Concept CheckDecide whether each statement is true...Ch. 4.3 - Concept Check Decide whether each statement is...Ch. 4.3 - Prob. 48ECh. 4.3 - Concept Check If c is any number, then how many...Ch. 4.3 - Prob. 50ECh. 4.3 - 51. Show that tan(–x) = –tan x by writing tan(–x)...Ch. 4.3 - 52. Show that cot (–x) = –cot x by writing cot...Ch. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.4 - CONCEPT PREVIEW Match each description in Column I...Ch. 4.4 - CONCEPT PREVIEW Match each description in...Ch. 4.4 - CONCEPT PREVIEW Match each description in Column...Ch. 4.4 - CONCEPT PREVIEW Match each description in Column...Ch. 4.4 - CONCEPT PREVIEW Match each description in Column...Ch. 4.4 - CONCEPT PREVIEW Match each description in Column...Ch. 4.4 - Concept Check Match each function with its graph...Ch. 4.4 - Concept Check Match each function with its graph...Ch. 4.4 - Concept Check Match each function with its graph...Ch. 4.4 - Concept Check Match each function with its graph...Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Graph each function over a one-period interval....Ch. 4.4 - Connecting Graphs with EquationsDetermine an...Ch. 4.4 - Connecting Graphs with Equations Determine an...Ch. 4.4 - Connecting Graphs with Equations Determine an...Ch. 4.4 - Connecting Graphs with Equations Determine an...Ch. 4.4 - Connecting Graphs with Equations Determine an...Ch. 4.4 - Prob. 30ECh. 4.4 - Concept CheckDecide whether each statement is true...Ch. 4.4 - Concept Check Decide whether each statement is...Ch. 4.4 - Concept CheckDecide whether each statement is true...Ch. 4.4 - Prob. 34ECh. 4.4 - 35. Concept Check If c is any number such that -1...Ch. 4.4 - Prob. 36ECh. 4.4 - 37. Show that sec (–x) = sec x by writing sec (–x)...Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - (Modeling) Distance of a Rotating Beacon The...Ch. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 1SECh. 4.4 - Prob. 2SECh. 4.4 - These summary exercises provide practice with the...Ch. 4.4 - Prob. 4SECh. 4.4 - Prob. 5SECh. 4.4 - Prob. 6SECh. 4.4 - Prob. 7SECh. 4.4 - Graph each function over a two-period...Ch. 4.4 - Prob. 9SECh. 4.4 - Graph each function over a two-period...Ch. 4.5 - CONCEPT PREVIEW Refer to the equations in the...Ch. 4.5 - Prob. 2ECh. 4.5 - CONCEPT PREVIEW Refer to the equations in the...Ch. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Spring Motion An object is attached to a coiled...Ch. 4.5 - Spring Motion Repeat Exercise 7, but assume that...Ch. 4.5 - 9. Voltage of an Electrical Circuit The voltage E...Ch. 4.5 - Prob. 10ECh. 4.5 - Particle Movement Write the equation and then...Ch. 4.5 - Prob. 12ECh. 4.5 - 13. Pendulum Motion What are the period P and...Ch. 4.5 - Prob. 14ECh. 4.5 - Spring Motion The formula for the up and down...Ch. 4.5 - Spring Motion (See Exercise 15.) A spring with...Ch. 4.5 - Spring Motion The position of a weight attached to...Ch. 4.5 - Spring Motion The position of a weight attached to...Ch. 4.5 - Spring Motion A weight attached to a spring is...Ch. 4.5 - 20. Spring Motion A weight attached to a spring...Ch. 4.5 - (Modeling) Springs A weight on a spring has...Ch. 4.5 - Prob. 22ECh. 4.5 - (Modeling) Springs A weight on a spring has...Ch. 4.5 - (Modeling) Springs A weight on a spring has...Ch. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - (Modeling) Spring Motion Consider the spring in...Ch. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - (Modeling) Spring Motion Consider the spring in...Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4 - Concept Check Which one of the following...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - For each function, give the amplitude, period,...Ch. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - For each function, give the amplitude, period,...Ch. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Graph each function over a one-period...Ch. 4 - Graph each function over a one-period...Ch. 4 - Graph each function over a one-period...Ch. 4 - Prob. 36RECh. 4 - Graph each function over a one-period...Ch. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - (Modeling) Monthly Temperatures A set of...Ch. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Average Monthly Temperature The average monthly...Ch. 4 - 14. Spring Motion The position of a weight...Ch. 4 - Prob. 15T
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