4. In addition to the °cos' pre-defined function, which is found in the "cmath' library, the cosine of an angle 'x' (given in radians), can be estimated using the following infinite series: x x* cos(x) = 1– 2! +...+(-1)" 4! (2n)! However, based on the number of terms 'n’ used in the above series, an ERROR MARGIN (EM) can be found between the estimated value and the value returned by the pre-defined function "cos'. Write a C++ program, which does the following: 1. Allows the user to enter the value of the EM, which must be between 0 and 0.0010. A suitable error message should be displayed if EM is entered outside this range and the program must terminate 2. Reads a list of angles (given in degree) from a text file (see angles.txt). The program should only accept angles between 0 and 180°. When invalid angle is read from the file, an error message should be displayed (see the sample output) 3. Includes THREE user-defined functions to perform the following tasks: a. Convert the angle from degree to radians using: radians = degree × b. Compute the n! to be used in the above series c. Compute the estimated cosine as given by the above series 4. Counts the number of terms 'n' used in the above series to satisfy the provided EM 5. Formats the output as shown below (Use 8 decimal places for all real numbers) 180°
4. In addition to the °cos' pre-defined function, which is found in the "cmath' library, the cosine of an angle 'x' (given in radians), can be estimated using the following infinite series: x x* cos(x) = 1– 2! +...+(-1)" 4! (2n)! However, based on the number of terms 'n’ used in the above series, an ERROR MARGIN (EM) can be found between the estimated value and the value returned by the pre-defined function "cos'. Write a C++ program, which does the following: 1. Allows the user to enter the value of the EM, which must be between 0 and 0.0010. A suitable error message should be displayed if EM is entered outside this range and the program must terminate 2. Reads a list of angles (given in degree) from a text file (see angles.txt). The program should only accept angles between 0 and 180°. When invalid angle is read from the file, an error message should be displayed (see the sample output) 3. Includes THREE user-defined functions to perform the following tasks: a. Convert the angle from degree to radians using: radians = degree × b. Compute the n! to be used in the above series c. Compute the estimated cosine as given by the above series 4. Counts the number of terms 'n' used in the above series to satisfy the provided EM 5. Formats the output as shown below (Use 8 decimal places for all real numbers) 180°
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...
Related questions
Question
Transcribed Image Text:A C:\Windows\system32\cmd.exe
Enter the ERROR margin (bet 0 and 0.0010): 0.0500
***Invalid ERROR MAŘGIN linit. Program ends...***
Press any key to continue
angles.txt
100
A C:\Windows\system32\cmd.exe
25
33
Enter the ERROR nargin (bet 0 and 8.0010): 0.001
190
cos (x>
estimated #of terms
50
86
100 -0.17277674 -0.17270646
0.90641077
0.83887981
33
190
50
86
0.90640125
0.83882956
**ang le is out of range**
0.64312645
0.07051553
-20
170
0.6437297%
0.06989479
0.99619614
13
5
0.99619855
45
-20
170 -0.98454544 -0.98546634
13
45
Press any key to continue
**angle is out of range**
0.97439593
0.70738827 0.70770972
0.97428592
623
23958 2714
Transcribed Image Text:4. In addition to the 'cos' pre-defined function, which is found in the "cmath' library, the
cosine of an angle 'x' (given in radians), can be estimated using the following infinite series:
x? x*
cos(x) =1–
2!
+...+(-1)"
4!
+...
(2n)!
However, based on the number of terms 'n' used in the above series, an ERROR MARGIN
(EM) can be found between the estimated value and the value returned by the pre-defined
function "cos'.
Write a C++ program, which does the following:
1. Allows the user to enter the value of the EM, which must be between 0 and 0.0010. A
suitable error message should be displayed if EM is entered outside this range and the
program must terminate
2. Reads a list of angles (given in degree) from a text file (see angles.txt). The program
should only accept angles between 0 and 180°. When invalid angle is read from the
file, an error message should be displayed (see the sample output)
3. Includes THREE user-defined functions to perform the following tasks:
a. Convert the angle from degree to radians using: radians = degree × :
b. Compute the n! to be used in the above series
c. Compute the estimated cosine as given by the above series
4. Counts the number of terms 'n' used in the above series to satisfy the provided EM
5. Formats the output as shown below (Use 8 decimal places for all real numbers)
180°
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