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Sample Testcase 0: Input: 1.04667 Output: 0.50046 Sample Testcase 1: Input: 1.04667 20 Output: Invalid 1 #include 2 #include 3 #include 4 using namespace std; int main() 7 { 8. double x; int k; double sum = 0; 10 11 cin>>x; 12 cin>>k; 13 14 // Write your code here 15 16 17 18 // End Your code 19 cout<

Sample Testcase 0: Input: 1.04667 Output: 0.50046 Sample Testcase 1: Input: 1.04667 20 Output: Invalid 1 #include 2 #include 3 #include 4 using namespace std; int main() 7 { 8. double x; int k; double sum = 0; 10 11 cin>>x; 12 cin>>k; 13 14 // Write your code here 15 16 17 18 // End Your code 19 cout<

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Sample Testcase 0: Input: 1.04667 5 Output: 0.50046 Sample Testcase 1: Input: 1.04667 20 Output: Invalid #include <iostream> 2 #include <cmath> #include <iomanip> 4 using namespace std; int main() { 8 double x; int k; 10 double sum = 0; 11 cin>>x; 12 cin>>k; 13 14 // Write your code here 15 16 17 18 // End Your code 19 cout<<fixed<<setprecision(7) <<sum; 20 return 0; 21 }
Transcribed Image Text:Sample Testcase 0: Input: 1.04667 5 Output: 0.50046 Sample Testcase 1: Input: 1.04667 20 Output: Invalid #include <iostream> 2 #include <cmath> #include <iomanip> 4 using namespace std; int main() { 8 double x; int k; 10 double sum = 0; 11 cin>>x; 12 cin>>k; 13 14 // Write your code here 15 16 17 18 // End Your code 19 cout<<fixed<<setprecision(7) <<sum; 20 return 0; 21 }
In this task, you are required to write a code which takes as an input an angle [0°, 90°] in radians and returns the approximate value of the cosine of this angle. The code will also take as an input the number of terms to be used to approximate the result. We will use the Maclaurin series of cos(x) to approximate the result. The series is given by: cos(x) -1"x2 Ln =0 (2n!) but for practical reasons, we will not use infinite terms but k terms where k is input by the user: cos(x) = -1"2 Ln =0 (2n!) So, for example, to calculate the cosine for 60° (1.04667 radians) using five terms, the approximation will be: 1- 1.04667? 2! 1.04667 8! 1.046674 1.04667 = 0.50046 4! 6! • The program should at most handle 15 terms (to avoid overflows due to factorial), otherwise the program outputs Invalid • There should be at least three terms used in the approximation, otherwise the program outputs Invalid • If the number of terms is negative, the programs corrects it automatically to positive. I/0 Program Input: • A single line that takes in any angle (in radians) • A single line that takes in the number of terms to use in the approximation Program Output: • A single line that outputs the approximate value of the cosine
Transcribed Image Text:In this task, you are required to write a code which takes as an input an angle [0°, 90°] in radians and returns the approximate value of the cosine of this angle. The code will also take as an input the number of terms to be used to approximate the result. We will use the Maclaurin series of cos(x) to approximate the result. The series is given by: cos(x) -1"x2 Ln =0 (2n!) but for practical reasons, we will not use infinite terms but k terms where k is input by the user: cos(x) = -1"2 Ln =0 (2n!) So, for example, to calculate the cosine for 60° (1.04667 radians) using five terms, the approximation will be: 1- 1.04667? 2! 1.04667 8! 1.046674 1.04667 = 0.50046 4! 6! • The program should at most handle 15 terms (to avoid overflows due to factorial), otherwise the program outputs Invalid • There should be at least three terms used in the approximation, otherwise the program outputs Invalid • If the number of terms is negative, the programs corrects it automatically to positive. I/0 Program Input: • A single line that takes in any angle (in radians) • A single line that takes in the number of terms to use in the approximation Program Output: • A single line that outputs the approximate value of the cosine
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