MATLAB: How to find points of intersections of graphs

graphicspoints of intersectionssystem of equations

Hi everybody. I need to find zeros of given functions of one (and the same) variable in given interval. f_k(t)=1-cos(a_k*t-b_k), -Pi<t<Pi, k=1,2,…,n (n is a given integer), a_k and b_k are known.
I thought to draw graphics of that functions and find the points of their intersections. But I could just draw graphics, and could not find that points. Could you help me with graphics or advice another way of solution?

Best Answer

pas=0.01
t=-pi:pas:pi;
n=length(t);
a_k=[1 2 3 4];
b_k=[1 2 3 4];
for k=1:numel(a_k)
f_k{k}=1-cos(a_k(k)*t-b_k(k));
[c,idx1]=findpeaks(-f_k{k})
tzeros{k}=t(idx1)
end
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