Question

I need not in pic or handwriting, in keyboard

Spring 19 (1) ESC 152 Programming with MATLAB Section 2 1) The Taylor series expansion for cos(x) is: coS(x). where x is in radians. Write a MATLAB program that determines cos (x) using the Taylor series expansion. The program asks the user to type a value for an angle in degrees. Then the program uses a loop for adding the terms of the Taylor series. If a is the nth term in the series, then the sum S, of the n terms is S. - S, ta In each pass calculate the estimated error E given by S. Stop adding terms when Es0.00001. The program displays the value of cos(x). Use the program for calculating: (a) cos (35) Compare the values with those obtained by using a calculator (b) sin(125°)

Answer 1

x = input("Enter a value for x: ");

prev = 0;
S = 0;
sign = 1;
i = 0;

while true
    term = sign * (x^i)/factorial(i);
    S = S + term;
    if i ~= 0 && abs((S - prev) / prev) <= 1e-6
        break
    end
    prev = S;
    i = i+2;
    sign = -1 * sign;
end

fprintf("Calculated value of cos(%f) is %f\n", x, S)