angle=180 % use an example 180
x=pi*angle/180; % converting degrees to radians
sum=0;
sum1 =cos(x); % using function cos to calculate
i=1;
while abs(sum1-sum)>0.0001 % erroe upto 4 decimal points
sum=sum+((-1)^(i-1)*x^(2*(i-1)))/(factorial(2*(i-1)));
i=i+1;
end
disp(sum)
disp(sum1)
fprintf('Number of iterations required is %d',i)
MATLAB Use the Taylor series cos(x)-1-to compute cos(x) to four decimal places (by comparing the value...
An alternative way for calculating sin(x) is to use its Taylor series as the following: sinx)x-+ Create a function named "sin_taylor" in MATLAB. This function takes two inputs. First input is the angle, and the second input determines the number of terms in Taylor series for approximation. Check the fidelity of your function by running sin-taylor( 7) and compare it with the exact value of it. Hint: “factorial" is a built-in function that you can use for calculating factorial of...
In MATLAB The value of cos(x) can be approximated using a Maclaurin series + +... cos(x)=1-1 2! 4! 6! Which can be expressed compactly as cos(x) = {(-1)+7 (2(k-1))! 00 2(k-1) k-1 Write Matlab code using a while loop that calculates cos(2) with 5 terms of Maclaurin series. Compare the value with the one calculated with a built-in function cos (2) in Matlab. The following is an expected output from your code: Using the Maclaurin series cos( 2.0) with 5...
Hello! i need help with a problem in this textbook, Essential MATLAB, 6th edition. Question 8.11: Use the Taylor Series, cosx=1- (x2/2!)+(x4/4!)-(x6/6!)+......... To write a program to compute cosx correct to 4 decimal places )x is in radians). see how many terms are needed to get 4 figure agreement with the MATLAB function cos. Dont make x too large; that could cause rounding errors. I can get an out put correct up to about only 10 radians, but then it...
Solve the following problem in MATLAB. Use format compact for all work to suppress extra lines. Show all work and add comments as needed to explain your logic/steps. 1. The function f(x) = e* can be approximated by the following Taylor series: n=0 The first few terms of the Taylor series are: e 1 + x + + + + ...... 2! 3! 4! Keep in mind that the "!" symbol denotes factorial. For example, the factorial of 4 =...
write your own cos function that guarantees precision to 8 decimal places. Do not use built in Matlab functions cos, factorial, or power (^).
2. By multiplying the appropriate Taylor series about c 0, compute the first four terms of the Taylor series about c = 0 for f(x) = e coS x. Hint: It is not necessary to do any differentiation to do this problem. 2. By multiplying the appropriate Taylor series about c 0, compute the first four terms of the Taylor series about c = 0 for f(x) = e coS x. Hint: It is not necessary to do any differentiation...
Convince yourself that the Maclaurin Series for cos(x) is: A. Write a function script called cos_series that takes that takes as its inputs, x and N and has output given by the sum in the N-term Maclaurin Series approximation for Cos(x). Hint: try a “for loop” and set “format long” in your code. You may use the MATLAB built-in function factorial() B. Check your code by finding the 2-terms, 3-terms, 4-terms, 5-terms and 6-terms Maclaurin Series approximations every 30 degrees...
Write the Taylor series expansion of cos(x): Use the first three terms to calculate the value of cos(n/4). Use the decimal format with six significant digits (apply rounding at each step). Calculate the truncation error A- B-
2. Compute the first four non-zero Taylor coefficients of the function 1/cos(3) from the Taylor coefficients of cos(x).
in matlab please and do not use while or for ty for your time 4. Write the function ExpSeries that will take a real number x as input, and return the result of the following summation: rrr? r? rº + + 0! 1!2! 3! 9! + + You can use the built-in function factorial. This series actually approximates the function et. You can check your function by comparing its result with that of the built- in function exp.