Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 13.7, Problem 14PPS
To determine
To determine the amplitude and period of the given function and graph it.
Expert Solution & Answer
Answer to Problem 14PPS
Amplitude =1 , Period =12π
Explanation of Solution
Given:
y=sin4θ
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 sine function is:
y=Asin(Bx)
Amplitude =A
Period =2πB
Calculation:
For y=sin4θ ,
Comparing with the general sine equation y=Asin(Bx) ,
A=1,B=4
So, the amplitude of the given function is 1 .
Period =2πB
=2π4=12π
The period of the given function is 12π .
Graph:
The graph of y=sin4θ:
Conclusion:
Therefore, the amplitude of the given function is 1 and the period is 12π .
Chapter 13 Solutions
Algebra 2
Ch. 13.1 - Prob. 1CYPCh. 13.1 - Prob. 2CYPCh. 13.1 - Prob. 3ACYPCh. 13.1 - Prob. 3BCYPCh. 13.1 - Prob. 4CYPCh. 13.1 - Prob. 5ACYPCh. 13.1 - Prob. 5BCYPCh. 13.1 - Prob. 6ACYPCh. 13.1 - Prob. 6BCYPCh. 13.1 - Prob. 1CYU
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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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