Finding a nonlinear equation root

Hello everyone, i have an equation such that cosh(x)*cos(x)+1=0. I can solve with fsolve but this solver does not give me root, i need to give an interval. How can i solve and finding roots for this equation? Is there any possibilty to solve with using fzero to find roots directly ?In my book roots are:1.875,4.694 and goes on and on
Thanks

Réponses (1)

fun = @(x)cosh(x).*cos(x)+1;
icount = 0;
for i = 1:2:21
x0 = i*pi/2;
icount = icount + 1;
xroot(icount) = fzero(fun,x0);
end
xroot
xroot = 1×11
1.8751 4.6941 7.8548 10.9955 14.1372 17.2788 20.4204 23.5619 26.7035 29.8451 32.9867

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