Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 13.7, Problem 15PPS
To determine

To determine the amplitude and period of the given function and graph it.

Expert Solution & Answer
Check Mark

Answer to Problem 15PPS

Amplitude =34 , Period =2π

Explanation of Solution

Given:

  y=34cosθ

Concept used:

Amplitude is the distance between the center line of the function and the top or bottom of the function.

Period is the distance between two peaks of the graph.

The generalized equation for a cosine function is:

  y=Acos(Bx)

Amplitude =A

Period =2πB

Calculation:

For y=34cosθ ,

Comparing with the general cosine equation y=Acos(Bx) ,

  A=34,B=1

So, the amplitude of the given function is 34 .

Period =2πB

  =2π1=2π

The period of the given function is 2π .

Graph:

The graph of y=34cosθ:

  Algebra 2, Chapter 13.7, Problem 15PPS

Conclusion:

Therefore, the amplitude of the given function is 34 and the period is 2π .

Chapter 13 Solutions

Algebra 2

Ch. 13.1 - Prob. 2CYUCh. 13.1 - Prob. 3CYUCh. 13.1 - Prob. 4CYUCh. 13.1 - Prob. 5CYUCh. 13.1 - Prob. 6CYUCh. 13.1 - Prob. 7CYUCh. 13.1 - Prob. 8CYUCh. 13.1 - Prob. 9CYUCh. 13.1 - Prob. 10CYUCh. 13.1 - Prob. 11CYUCh. 13.1 - Prob. 12CYUCh. 13.1 - Prob. 13PPSCh. 13.1 - Prob. 14PPSCh. 13.1 - Prob. 15PPSCh. 13.1 - Prob. 16PPSCh. 13.1 - Prob. 17PPSCh. 13.1 - Prob. 18PPSCh. 13.1 - Prob. 19PPSCh. 13.1 - Prob. 20PPSCh. 13.1 - Prob. 21PPSCh. 13.1 - Prob. 22PPSCh. 13.1 - Prob. 23PPSCh. 13.1 - Prob. 24PPSCh. 13.1 - Prob. 25PPSCh. 13.1 - Prob. 26PPSCh. 13.1 - Prob. 27PPSCh. 13.1 - Prob. 28PPSCh. 13.1 - Prob. 29PPSCh. 13.1 - Prob. 30PPSCh. 13.1 - Prob. 31PPSCh. 13.1 - Prob. 32PPSCh. 13.1 - Prob. 33PPSCh. 13.1 - Prob. 34PPSCh. 13.1 - Prob. 35PPSCh. 13.1 - Prob. 36PPSCh. 13.1 - Prob. 37PPSCh. 13.1 - Prob. 38PPSCh. 13.1 - Prob. 39PPSCh. 13.1 - Prob. 40PPSCh. 13.1 - Prob. 41PPSCh. 13.1 - Prob. 42PPSCh. 13.1 - Prob. 43PPSCh. 13.1 - Prob. 44PPSCh. 13.1 - Prob. 45PPSCh. 13.1 - Prob. 46PPSCh. 13.1 - Prob. 47PPSCh. 13.1 - 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Prob. 5CYUCh. 13.9 - Prob. 6CYUCh. 13.9 - Prob. 7CYUCh. 13.9 - Prob. 8CYUCh. 13.9 - Prob. 9CYUCh. 13.9 - Prob. 10CYUCh. 13.9 - Prob. 11CYUCh. 13.9 - Prob. 12PPSCh. 13.9 - Prob. 13PPSCh. 13.9 - Prob. 14PPSCh. 13.9 - Prob. 15PPSCh. 13.9 - Prob. 16PPSCh. 13.9 - Prob. 17PPSCh. 13.9 - Prob. 18PPSCh. 13.9 - Prob. 19PPSCh. 13.9 - Prob. 20PPSCh. 13.9 - Prob. 21PPSCh. 13.9 - Prob. 22PPSCh. 13.9 - Prob. 23PPSCh. 13.9 - Prob. 24PPSCh. 13.9 - Prob. 25PPSCh. 13.9 - Prob. 26PPSCh. 13.9 - Prob. 27PPSCh. 13.9 - Prob. 28PPSCh. 13.9 - Prob. 29PPSCh. 13.9 - Prob. 30PPSCh. 13.9 - Prob. 31PPSCh. 13.9 - Prob. 32PPSCh. 13.9 - Prob. 33PPSCh. 13.9 - Prob. 34PPSCh. 13.9 - Prob. 35PPSCh. 13.9 - Prob. 36PPSCh. 13.9 - Prob. 37PPSCh. 13.9 - Prob. 38PPSCh. 13.9 - Prob. 39PPSCh. 13.9 - Prob. 40PPSCh. 13.9 - Prob. 41HPCh. 13.9 - Prob. 42HPCh. 13.9 - Prob. 43HPCh. 13.9 - Prob. 44HPCh. 13.9 - Prob. 45HPCh. 13.9 - Prob. 46HPCh. 13.9 - Prob. 47HPCh. 13.9 - Prob. 48HPCh. 13.9 - Prob. 49HPCh. 13.9 - Prob. 50HPCh. 13.9 - Prob. 51STPCh. 13.9 - Prob. 52STPCh. 13.9 - Prob. 53STPCh. 13.9 - Prob. 54STPCh. 13.9 - Prob. 55STPCh. 13.9 - Prob. 56STPCh. 13.9 - Prob. 57SCh. 13.9 - Prob. 58SCh. 13.9 - Prob. 59SCh. 13.9 - Prob. 60SCh. 13 - Prob. 1QCCh. 13 - Prob. 2QCCh. 13 - Prob. 3QCCh. 13 - Prob. 4QCCh. 13 - Prob. 5QCCh. 13 - Prob. 6QCCh. 13 - Prob. 7QCCh. 13 - Prob. 8QCCh. 13 - Prob. 1MCQCh. 13 - Prob. 2MCQCh. 13 - Prob. 3MCQCh. 13 - Prob. 4MCQCh. 13 - Prob. 5MCQCh. 13 - Prob. 6MCQCh. 13 - Prob. 7MCQCh. 13 - Prob. 8MCQCh. 13 - Prob. 9MCQCh. 13 - Prob. 10MCQCh. 13 - Prob. 11MCQCh. 13 - Prob. 12MCQCh. 13 - Prob. 13MCQCh. 13 - Prob. 14MCQCh. 13 - Prob. 15MCQCh. 13 - Prob. 16MCQCh. 13 - Prob. 17MCQCh. 13 - Prob. 18MCQCh. 13 - Prob. 19MCQCh. 13 - Prob. 20MCQCh. 13 - Prob. 21MCQCh. 13 - Prob. 1SGRCh. 13 - Prob. 2SGRCh. 13 - Prob. 3SGRCh. 13 - Prob. 4SGRCh. 13 - Prob. 5SGRCh. 13 - Prob. 6SGRCh. 13 - Prob. 7SGRCh. 13 - Prob. 8SGRCh. 13 - Prob. 9SGRCh. 13 - Prob. 10SGRCh. 13 - Prob. 11SGRCh. 13 - Prob. 12SGRCh. 13 - Prob. 13SGRCh. 13 - Prob. 14SGRCh. 13 - Prob. 15SGRCh. 13 - Prob. 16SGRCh. 13 - Prob. 17SGRCh. 13 - Prob. 18SGRCh. 13 - Prob. 19SGRCh. 13 - Prob. 20SGRCh. 13 - Prob. 21SGRCh. 13 - Prob. 22SGRCh. 13 - Prob. 23SGRCh. 13 - Prob. 24SGRCh. 13 - Prob. 25SGRCh. 13 - Prob. 26SGRCh. 13 - Prob. 27SGRCh. 13 - Prob. 28SGRCh. 13 - Prob. 29SGRCh. 13 - Prob. 30SGRCh. 13 - Prob. 31SGRCh. 13 - Prob. 32SGRCh. 13 - Prob. 33SGRCh. 13 - Prob. 34SGRCh. 13 - Prob. 35SGRCh. 13 - Prob. 36SGRCh. 13 - Prob. 37SGRCh. 13 - Prob. 38SGRCh. 13 - Prob. 39SGRCh. 13 - Prob. 40SGRCh. 13 - Prob. 41SGRCh. 13 - Prob. 42SGRCh. 13 - Prob. 43SGRCh. 13 - Prob. 44SGRCh. 13 - Prob. 45SGRCh. 13 - Prob. 46SGRCh. 13 - Prob. 47SGRCh. 13 - Prob. 48SGRCh. 13 - Prob. 49SGRCh. 13 - Prob. 50SGRCh. 13 - Prob. 51SGRCh. 13 - Prob. 52SGRCh. 13 - Prob. 53SGRCh. 13 - Prob. 54SGRCh. 13 - Prob. 55SGRCh. 13 - Prob. 56SGRCh. 13 - Prob. 57SGRCh. 13 - Prob. 58SGRCh. 13 - Prob. 59SGRCh. 13 - Prob. 60SGRCh. 13 - Prob. 61SGRCh. 13 - Prob. 62SGRCh. 13 - Prob. 63SGRCh. 13 - Prob. 64SGRCh. 13 - Prob. 65SGRCh. 13 - Prob. 66SGRCh. 13 - Prob. 67SGRCh. 13 - Prob. 68SGRCh. 13 - Prob. 69SGRCh. 13 - Prob. 70SGRCh. 13 - Prob. 71SGRCh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Prob. 7PTCh. 13 - Prob. 8PTCh. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 11PTCh. 13 - Prob. 12PTCh. 13 - Prob. 13PTCh. 13 - Prob. 14PTCh. 13 - Prob. 15PTCh. 13 - Prob. 16PTCh. 13 - Prob. 17PTCh. 13 - Prob. 18PTCh. 13 - Prob. 19PTCh. 13 - Prob. 20PTCh. 13 - Prob. 21PTCh. 13 - Prob. 22PTCh. 13 - Prob. 23PTCh. 13 - Prob. 24PTCh. 13 - Prob. 25PTCh. 13 - Prob. 1ECh. 13 - Prob. 2ECh. 13 - Prob. 1STPCh. 13 - Prob. 2STPCh. 13 - Prob. 3STPCh. 13 - Prob. 4STPCh. 13 - Prob. 5STPCh. 13 - Prob. 6STPCh. 13 - Prob. 7STPCh. 13 - Prob. 8STPCh. 13 - Prob. 9STPCh. 13 - Prob. 10STPCh. 13 - Prob. 11STPCh. 13 - Prob. 12STPCh. 13 - Prob. 13STPCh. 13 - Prob. 14STPCh. 13 - Prob. 15STPCh. 13 - Prob. 16STPCh. 13 - Prob. 17STP
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