Display answer in degree

Question

Ali Ahmed 2023-12-29

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2065081-display-answer-in-degree

评论： Dyuman Joshi 2023-12-30

Hello my friends,

I am trying solve 4 eqution using the following code

% Define the system of nonlinear equations
equations = @(x) [cos(7*x(1)) + cos(7*x(2)) + cos(7*x(3)) + cos(7*x(4));
    cos(11*x(1)) + cos(11*x(2)) + cos(11*x(3)) + cos(11*x(4));
    cos(13*x(1)) + cos(13*x(2)) + cos(13*x(3)) + cos(13*x(4));
    cos(x(1)) + cos(x(2)) + cos(x(3)) + cos(x(4)) - 3.2];
% Initial guess for the solution (in radians)
initialGuess = [0; 0; 0; 0];
% Solve the system using fsolve
options = optimoptions('fsolve', 'Display', 'off'); % Suppress fsolve display
solution = fsolve(equations, initialGuess, options);
% Display the result
disp('Solution (in radians):');
disp(solution);

how to display the answer in degree

not I am new to matlab and find this code through code generator

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Answer 1

Walter Roberson 2023-12-29

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在 MATLAB Online 中打开

disp('Solution (in degrees):');
disp(rad2deg(solution));

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Answer 2

Torsten 2023-12-30

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https://ww2.mathworks.cn/matlabcentral/answers/2065081-display-answer-in-degree#answer_1380386

移动：Torsten 2023-12-30

在 MATLAB Online 中打开

"fsolve" is not able to find a solution for your system: the exitflag is -2.

% Define the system of nonlinear equations
equations = @(x) [cos(7*x(1)) + cos(7*x(2)) + cos(7*x(3)) + cos(7*x(4));
                  cos(11*x(1)) + cos(11*x(2)) + cos(11*x(3)) + cos(11*x(4));
                  cos(13*x(1)) + cos(13*x(2)) + cos(13*x(3)) + cos(13*x(4));
                  cos(x(1)) + cos(x(2)) + cos(x(3)) + cos(x(4)) - 3.2];
% Initial guess for the solution (in radians)
initialGuess = [0; 0; 0; 0];
% Solve the system using fsolve
options = optimoptions('fsolve', 'Display', 'off','MaxIterations',10000,'MaxFunctionEvaluations',10000); % Suppress fsolve display
[solution,fval,exitflag] = fsolve(equations, initialGuess, options)
solution = 4×1
    0.5655
   -0.1262
    1.2984
   -0.8435
fval = 4×1
   -0.0651
    0.0450
   -0.0062
   -0.4298
exitflag = -2

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Dyuman Joshi 2023-12-30

在 MATLAB Online 中打开

There is (atleast) a solution -

syms x [1 4]

eqs = [cos(7*x(1)) + cos(7*x(2)) + cos(7*x(3)) + cos(7*x(4));

cos(11*x(1)) + cos(11*x(2)) + cos(11*x(3)) + cos(11*x(4));

cos(13*x(1)) + cos(13*x(2)) + cos(13*x(3)) + cos(13*x(4));

cos(x(1)) + cos(x(2)) + cos(x(3)) + cos(x(4)) - 3.2]

eqs =

%solve returns the output via vpasolve()

sol = vpasolve(eqs,x)

sol = struct with fields:

x1: -38.235216532077723407827330267693 x2: 288.35776383136872785096437139067 x3: 21544.805212430975000143326690952 x4: -30767.810938238740147856771781125

sol = struct2array(sol);

subs(eqs, x, sol)

ans =

However, the values are quite scattered, maybe using a better initial point might result in a solution via fsolve().

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