Question

What is the coding that I need to satisfy the questions and instructions. This is MATLAB

function project_2_mjh()

% PROJECT_2_ABC project_2_ABC() evaluates approximations of sin(x)

% using the Taylor series expansion.

%

% Name:

% Date:

% CMPSC 200

%

%

%

% Splash Screen

fprintf('Name: Muhaman Halawani\n');

fprintf('CMPSC 200\n');

fprintf('6 September 2018\n');

fprintf('\n')

% Description of the program

fprintf('');

fprintf('');

fprintf('\n')

% Have the user enter the angle

% Calculate the sine and the three Taylor series approximations

% Store each of these in their own variable

% Calculate the Percent Error of the four calculations

% Store each of these in their own variable

% Print the Results as a table using fprintf

% The first line is a reiteration of the input

% Line 2 is the actual value using the sine function and an error of 0

% Line 3 is the first approximation and its error and so on.

end

Answer 1

format long
function d = DtoR(degree)
d = degree*pi/180;
end
function fac = factor(n)
res = 1;
for i = 1:n
res = res * i;
end

fac = res;
end
function approx = Sine(val)
x = 0;
p = 2;
i = 1;
for k = 1:3
i = 2*k - 1;
x = x+ ( (-1)^p *(val)^i )/factor(i);
p = p + 1;
end
approx = x;
end
deg = input("Enter the value in degree: ");
radian = DtoR(deg);
approx =Sine(radian);
fprintf("Approximate value %.8f\n",approx);
trueValue = sin(radian);
erro = (trueValue - approx) * 100/ trueValue

=====================================================
See Output
$1 format Long 2 function d - DtoR(degree) 3 d degree*pi/180; 4 en 5 function fac-factor(n) 6 res -1; 7 for i -1:n res = res * i; 9 end 10 11 fac - res; 12 end 13 function approx - Sine(val) 14 x=0; 15 p 2; 16 i- 1; 17 for k 1:3 18 1 = 2*k - 1; 19 x = x+ ( (-1)^p *(val) )/factor(i); 20 p p + 1; 21 end 22 approx - x; 23 end 24 deginput(Enter the value in degree: ; 25 radian= DtoR(deg); 26 approx -Sine(radian); 27 fprintf(Approximate value %. 8f\n , approx); 28 trueValuesin(radian); 29 erro - (trueValue approx) * 100/ trueValue CommandLine Arguments O Execute Save My Project Result. executed in 3.966 secs octave: X11 DISPLAY environment variable not set octave: disabling GUI features Enter the value in degree: 30 Approximate value 0.50000213 erro- -4.26517758500555e-04$

Thanks, PLEASE UPVOTE if helpful