Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
bartleby

Videos

Question
Book Icon
Chapter 6.7, Problem 9CFU
To determine

To graph: the trigonometric function.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information:

  y=sec(2θ+π)1

Calculation:

The given function is in the form of y=Asec(kx+c)+h . Compare the given function with the cosine function to get x=θ,A=1,k=2,c=π and h=1 . The amplitude and period of function is evaluated as shown below.

  Amplitude=|A|=|1|                                    [Put the value of A]=1

The period of function is evaluated as shown below.

  Period=2πk=2π2                                    [Put the value of k]=π

The phase shift of function is evaluated as shown below.

  Phase shift=ck=π2                                    [Put the value of c and k]

Now divide the period into four equal lengths (i.e. π4,π2,3π4 and π ) to evaluate the points as shown below.

  y=sec(2(0)+π)1                  [For θ=0]=sec(π)1=11=2

  y=sec(2(π4)+π)1                  [For θ=π4]=sec(π2)1=undefined

  y=sec(2(π2)+π)1                  [For θ=π2]y=sec(2π)1=11=0y=sec(2(3π4)+π)1                  [For θ=3π4]y=sec(3π2)1=undefinedy=sec(2(π)+π)1                  [For θ=π]=sec(3π)1=11=2

Create a table of values as shown below.

    x0 π4 π2 3π4 π
    y 2Undefined0undefined 2

Plot the coordinates on the graph and connect them with a smooth curve as shown below.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 6.7, Problem 9CFU

Chapter 6 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 6.1 - Prob. 11CFUCh. 6.1 - Prob. 12CFUCh. 6.1 - Prob. 13CFUCh. 6.1 - Prob. 14CFUCh. 6.1 - Prob. 15CFUCh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - Prob. 64ECh. 6.1 - Prob. 65ECh. 6.1 - Prob. 66ECh. 6.1 - Prob. 67ECh. 6.1 - Prob. 68ECh. 6.1 - Prob. 69ECh. 6.1 - Prob. 70ECh. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.2 - Prob. 1CFUCh. 6.2 - Prob. 2CFUCh. 6.2 - Prob. 3CFUCh. 6.2 - Prob. 4CFUCh. 6.2 - Prob. 5CFUCh. 6.2 - Prob. 6CFUCh. 6.2 - Prob. 7CFUCh. 6.2 - Prob. 8CFUCh. 6.2 - Prob. 9CFUCh. 6.2 - Prob. 10CFUCh. 6.2 - Prob. 11CFUCh. 6.2 - Prob. 12CFUCh. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Prob. 44ECh. 6.2 - Prob. 45ECh. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - Prob. 49ECh. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.3 - Prob. 1CFUCh. 6.3 - Prob. 2CFUCh. 6.3 - Prob. 3CFUCh. 6.3 - Prob. 4CFUCh. 6.3 - Prob. 5CFUCh. 6.3 - Prob. 6CFUCh. 6.3 - Prob. 7CFUCh. 6.3 - Prob. 8CFUCh. 6.3 - Prob. 9CFUCh. 6.3 - Prob. 10CFUCh. 6.3 - Prob. 11CFUCh. 6.3 - Prob. 12CFUCh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Prob. 45ECh. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Prob. 57ECh. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.3 - Prob. 61ECh. 6.3 - Prob. 62ECh. 6.3 - Prob. 63ECh. 6.3 - Prob. 64ECh. 6.3 - Prob. 65ECh. 6.3 - Prob. 66ECh. 6.4 - Prob. 1CFUCh. 6.4 - Prob. 2CFUCh. 6.4 - Prob. 3CFUCh. 6.4 - Prob. 4CFUCh. 6.4 - Prob. 5CFUCh. 6.4 - Prob. 6CFUCh. 6.4 - Prob. 7CFUCh. 6.4 - Prob. 8CFUCh. 6.4 - Prob. 9CFUCh. 6.4 - Prob. 10CFUCh. 6.4 - Prob. 11CFUCh. 6.4 - Prob. 12CFUCh. 6.4 - Prob. 13CFUCh. 6.4 - Prob. 14CFUCh. 6.4 - Prob. 15CFUCh. 6.4 - Prob. 16CFUCh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Prob. 31ECh. 6.4 - Prob. 32ECh. 6.4 - Prob. 33ECh. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.4 - Prob. 55ECh. 6.4 - Prob. 56ECh. 6.4 - Prob. 57ECh. 6.4 - Prob. 58ECh. 6.4 - Prob. 59ECh. 6.4 - Prob. 60ECh. 6.4 - Prob. 61ECh. 6.4 - Prob. 62ECh. 6.4 - Prob. 63ECh. 6.4 - Prob. 64ECh. 6.4 - Prob. 65ECh. 6.4 - Prob. 66ECh. 6.4 - Prob. 67ECh. 6.4 - Prob. 68ECh. 6.4 - Prob. 69ECh. 6.4 - Prob. 70ECh. 6.4 - Prob. 71ECh. 6.4 - Prob. 72ECh. 6.4 - Prob. 73ECh. 6.4 - Prob. 1MCQCh. 6.4 - Prob. 2MCQCh. 6.4 - Prob. 3MCQCh. 6.4 - Prob. 4MCQCh. 6.4 - Prob. 5MCQCh. 6.4 - Prob. 6MCQCh. 6.4 - Prob. 7MCQCh. 6.4 - Prob. 8MCQCh. 6.4 - Prob. 9MCQCh. 6.4 - Prob. 10MCQCh. 6.5 - Prob. 1GCECh. 6.5 - Prob. 2GCECh. 6.5 - Prob. 3GCECh. 6.5 - Prob. 1CFUCh. 6.5 - Prob. 2CFUCh. 6.5 - Prob. 3CFUCh. 6.5 - Prob. 4CFUCh. 6.5 - Prob. 5CFUCh. 6.5 - Prob. 6CFUCh. 6.5 - Prob. 7CFUCh. 6.5 - Prob. 8CFUCh. 6.5 - Prob. 9CFUCh. 6.5 - Prob. 10CFUCh. 6.5 - Prob. 11CFUCh. 6.5 - Prob. 12CFUCh. 6.5 - Prob. 13CFUCh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - Prob. 35ECh. 6.5 - Prob. 36ECh. 6.5 - Prob. 37ECh. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Prob. 40ECh. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Prob. 50ECh. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.6 - Prob. 1CFUCh. 6.6 - Prob. 2CFUCh. 6.6 - Prob. 3CFUCh. 6.6 - Prob. 4CFUCh. 6.6 - Prob. 5CFUCh. 6.6 - Prob. 6CFUCh. 6.6 - Prob. 7ECh. 6.6 - Prob. 8ECh. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - Prob. 12ECh. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - Prob. 20ECh. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - Prob. 23ECh. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.7 - Prob. 1CFUCh. 6.7 - Prob. 2CFUCh. 6.7 - Prob. 3CFUCh. 6.7 - Prob. 4CFUCh. 6.7 - Prob. 5CFUCh. 6.7 - Prob. 6CFUCh. 6.7 - Prob. 7CFUCh. 6.7 - Prob. 8CFUCh. 6.7 - Prob. 9CFUCh. 6.7 - Prob. 10CFUCh. 6.7 - Prob. 11CFUCh. 6.7 - Prob. 12CFUCh. 6.7 - Prob. 13ECh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - Prob. 17ECh. 6.7 - Prob. 18ECh. 6.7 - Prob. 19ECh. 6.7 - Prob. 20ECh. 6.7 - Prob. 21ECh. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Prob. 24ECh. 6.7 - Prob. 25ECh. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Prob. 28ECh. 6.7 - Prob. 29ECh. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Prob. 32ECh. 6.7 - Prob. 33ECh. 6.7 - Prob. 34ECh. 6.7 - Prob. 35ECh. 6.7 - Prob. 36ECh. 6.7 - Prob. 37ECh. 6.7 - Prob. 38ECh. 6.7 - Prob. 39ECh. 6.7 - Prob. 40ECh. 6.7 - Prob. 41ECh. 6.7 - Prob. 42ECh. 6.7 - Prob. 43ECh. 6.7 - Prob. 44ECh. 6.7 - Prob. 45ECh. 6.7 - Prob. 46ECh. 6.7 - Prob. 47ECh. 6.7 - Prob. 48ECh. 6.7 - Prob. 49ECh. 6.7 - Prob. 50ECh. 6.7 - Prob. 51ECh. 6.7 - Prob. 52ECh. 6.7 - Prob. 53ECh. 6.7 - Prob. 54ECh. 6.7 - Prob. 55ECh. 6.7 - Prob. 56ECh. 6.7 - Prob. 57ECh. 6.7 - Prob. 58ECh. 6.7 - Prob. 59ECh. 6.7B - Prob. 1GCECh. 6.7B - Prob. 2GCECh. 6.7B - Prob. 3GCECh. 6.7B - Prob. 4GCECh. 6.7B - Prob. 5GCECh. 6.7B - Prob. 6GCECh. 6.7B - Prob. 7GCECh. 6.7B - Prob. 8GCECh. 6.8 - Prob. 1CFUCh. 6.8 - Prob. 2CFUCh. 6.8 - Prob. 3CFUCh. 6.8 - Prob. 4CFUCh. 6.8 - Prob. 5CFUCh. 6.8 - Prob. 6CFUCh. 6.8 - Prob. 7CFUCh. 6.8 - Prob. 8CFUCh. 6.8 - Prob. 9CFUCh. 6.8 - Prob. 10CFUCh. 6.8 - Prob. 11CFUCh. 6.8 - Prob. 12CFUCh. 6.8 - Prob. 13CFUCh. 6.8 - Prob. 14ECh. 6.8 - Prob. 15ECh. 6.8 - Prob. 16ECh. 6.8 - Prob. 17ECh. 6.8 - Prob. 18ECh. 6.8 - Prob. 19ECh. 6.8 - Prob. 20ECh. 6.8 - Prob. 21ECh. 6.8 - Prob. 22ECh. 6.8 - Prob. 23ECh. 6.8 - Prob. 24ECh. 6.8 - Prob. 25ECh. 6.8 - Prob. 26ECh. 6.8 - Prob. 27ECh. 6.8 - Prob. 28ECh. 6.8 - Prob. 29ECh. 6.8 - Prob. 30ECh. 6.8 - Prob. 31ECh. 6.8 - Prob. 32ECh. 6.8 - Prob. 33ECh. 6.8 - Prob. 34ECh. 6.8 - Prob. 35ECh. 6.8 - Prob. 36ECh. 6.8 - Prob. 37ECh. 6.8 - Prob. 38ECh. 6.8 - Prob. 39ECh. 6.8 - Prob. 40ECh. 6.8 - Prob. 41ECh. 6.8 - Prob. 42ECh. 6.8 - Prob. 43ECh. 6.8 - Prob. 44ECh. 6.8 - Prob. 45ECh. 6.8 - Prob. 46ECh. 6.8 - Prob. 47ECh. 6.8 - Prob. 48ECh. 6.8 - Prob. 49ECh. 6.8 - Prob. 50ECh. 6.8 - Prob. 51ECh. 6.8 - Prob. 52ECh. 6.8 - Prob. 53ECh. 6.8 - Prob. 54ECh. 6 - Prob. 1SAPCh. 6 - Prob. 2SAPCh. 6 - Prob. 3SAPCh. 6 - Prob. 4SAPCh. 6 - Prob. 5SAPCh. 6 - Prob. 6SAPCh. 6 - Prob. 7SAPCh. 6 - Prob. 8SAPCh. 6 - Prob. 9SAPCh. 6 - Prob. 10SAPCh. 6 - Prob. 11SGACh. 6 - Prob. 12SGACh. 6 - Prob. 13SGACh. 6 - Prob. 14SGACh. 6 - Prob. 15SGACh. 6 - Prob. 16SGACh. 6 - Prob. 17SGACh. 6 - Prob. 18SGACh. 6 - Prob. 19SGACh. 6 - Prob. 20SGACh. 6 - Prob. 21SGACh. 6 - Prob. 22SGACh. 6 - Prob. 23SGACh. 6 - Prob. 24SGACh. 6 - Prob. 25SGACh. 6 - Prob. 26SGACh. 6 - Prob. 27SGACh. 6 - Prob. 28SGACh. 6 - Prob. 29SGACh. 6 - Prob. 30SGACh. 6 - Prob. 31SGACh. 6 - Prob. 32SGACh. 6 - Prob. 33SGACh. 6 - Prob. 34SGACh. 6 - Prob. 35SGACh. 6 - Prob. 36SGACh. 6 - Prob. 37SGACh. 6 - Prob. 38SGACh. 6 - Prob. 39SGACh. 6 - Prob. 40SGACh. 6 - Prob. 41SGACh. 6 - Prob. 42SGACh. 6 - Prob. 43SGACh. 6 - Prob. 44SGACh. 6 - Prob. 45SGACh. 6 - Prob. 46SGACh. 6 - Prob. 47SGACh. 6 - Prob. 48SGACh. 6 - Prob. 49SGACh. 6 - Prob. 50SGACh. 6 - Prob. 51SGACh. 6 - Prob. 1ASAPCh. 6 - Prob. 2ASAPCh. 6 - Prob. 3ASAPCh. 6 - Prob. 4ASAPCh. 6 - Prob. 5ASAPCh. 6 - Prob. 6ASAPCh. 6 - Prob. 7ASAPCh. 6 - Prob. 8ASAPCh. 6 - Prob. 9ASAPCh. 6 - Prob. 10ASAP
Knowledge Booster
Background pattern image
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Text book image
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Text book image
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
Sine, Cosine and Tangent graphs explained + how to sketch | Math Hacks; Author: Math Hacks;https://www.youtube.com/watch?v=z9mqGopdUQk;License: Standard YouTube License, CC-BY