We saw in Example 9 that the equation cos x = x has exactly one solution. (a)

Question:

We saw in Example 9 that the equation cos x = x has exactly one solution.
(a) Use a graph to show that the equation cos x = 0.3x has three solutions and find their values correct to two decimal places.
(b) Find an approximate value of m such that the equation cos x = mx has exactly two solutions.