How can you do this without plugging it into a graphing caculator?
Find the points of intersections for the functions f(x)= x/6 and g(x) = cosx
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This cannot be solved analytically. However, you can form a function h(x)-x/6-cos(x) and find its roots. Since -1≤cos(x)≤1, it suffices to consider the interval [-6;6]. Use Newton's method to approximate the roots. Let me know if you need help with it.