Sample Testcase 0: Input: 1.04667 5 Output: 0.5004572 Sample Testcase 1: Input: 1.04667 20 Output: Invalid 1 #include 2 #include 3 #include 4 using namespace std; 5 6 int main() 7 { 8 double x; 9 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<
Sample Testcase 0: Input: 1.04667 5 Output: 0.5004572 Sample Testcase 1: Input: 1.04667 20 Output: Invalid 1 #include 2 #include 3 #include 4 using namespace std; 5 6 int main() 7 { 8 double x; 9 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<
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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Help me plz
Transcribed Image Text:7:37 D
Û
cpe-pc.ju.edu.jo/cours
+
ONS
6
Sample Testcase 0:
Input:
1.04667
5
Output:
0.5004572
Sample Testcase 1:
Input:
1.04667
20
Output:
Invalid
1 #include <iostream>
2 #include <cmath>
3 #include <iomanip>
4 using namespace std;
5
6 int main()
7
{
8
double x;
9
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.
:
![7:37
Û
cpe-pc.ju.edu.jo/cours
+
6
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)
=
-0
-1" 2n
(2n!)
but for practical reasons, we will not use infinite
terms but k terms where k is input by the user:
cos(x) k -12n
n=0 (2n!)
So, for example, to calculate the cosine for 60°
(1.04667 radians) using five terms, the
approximation will be:
1.04667² 1.046674
+
1
1.046678
1.046676
6!
+
2!
4!
8!
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.
• If the angle is out of range, the program
outputs Invalid
1/0
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
M
:
0.50046-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa936b18e-20fb-4c55-9164-a34fa27f17dd%2F65a5d702-5cdd-4801-9ed1-378ece37f663%2Fzx36zpp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7:37
Û
cpe-pc.ju.edu.jo/cours
+
6
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)
=
-0
-1" 2n
(2n!)
but for practical reasons, we will not use infinite
terms but k terms where k is input by the user:
cos(x) k -12n
n=0 (2n!)
So, for example, to calculate the cosine for 60°
(1.04667 radians) using five terms, the
approximation will be:
1.04667² 1.046674
+
1
1.046678
1.046676
6!
+
2!
4!
8!
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.
• If the angle is out of range, the program
outputs Invalid
1/0
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
M
:
0.50046-
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