4 Write a function file for the secant method to find the ro

4. Write a function file for the secant method to find the roots of a function. Test your code for the following function. Your inputs should be the function, two initial guesses, and a tolerance. (x) x 5. Write a function file for the bisection method to find the roots of a function. Test your code on the following function. Determine what your inputs and outputs should be. (x) x

Solution

%Matlab code here save as function

function y = secant(a,b,tol)

f=inline(\'cos(x)-x\');
c = (a*f(b) - b*f(a))/(f(b) - f(a));
iter=0;
while abs(f(c)) > tol
a = b;
b = c;
c = (a*f(b) - b*f(a))/(f(b) - f(a));
  
iter = iter + 1;

if(iter == 1000)
break;
end
end

display([\'Root is x = \' num2str(c)]);
y = c;

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Run from command window like this

>> secant (0,pi/2,0.001)

Root is x = 0.73957

ans =

0.7396

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