Ask a question

Find the points of intersections for the functions f(x)= x/6 and g(x) = cosx

How can you do this without plugging it into a graphing caculator?

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
4.9 4.9 (174 lesson ratings) (174)
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.