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Solve sin(x) = cos(x) over -π ≤ x ≤ π by using Matlab

Solve sin(x) = cos(x) over -π ≤ x ≤ π by using Matlab

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Answer #1

Hello,
       Please find the answer attached below. If the answer has helped you please give a thumbs up rating. Thank you and have a nice day!

*********** Matlab Code *********

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% solving sin(x) = cos(x)

%%%% first modify the equation as sin(x) - cos(x) = 0

x = -pi:0.01:pi;
r = abs(sin(x)-cos(x));
clc;
fprintf('The solution to the equation is:\n');
x_sol = x(r<0.007)                % tolerance for the solutions

%%%%%%%% solutions on a graph
plot(x,sin(x),'LineWidth',2);
hold;
grid;
plot(x,cos(x),'LineWidth',2);
plot(x,r,'LineWidth',2);
legend('Sin(x)','Cos(x)','Sin(x)-Cos(x)');
xlabel('x');

******** End of Code********

Output:

The solution to the equation is:

x_sol =

   -2.3516    0.7884

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