f(x) = 5x − 4 sin x − 2, where x is in radians. 

a. Show that f(x) = 0 has a root, α, between x = 1.1 and x = 1.15.

b. Show that f(x) = 0 can be written as x = p sin x + q , where p and q are rational numbers to be found.

c. Starting with x₀ = 1.1, use the iterative formula x_{n + 1} = p sin xn + q with your values of p and q to calculate the values of x₁, x₂, x₃ and x₄ to 3 decimal places.