To calculate a planets space coordinates, we have to solve equations like x = 1 + 0.5 sin x. Graphing the function (x) = x

To calculate a planet’s space coordinates, we have to solve equations like x = 1 + 0.5 sin x. Graphing the function ƒ(x) = x - 1 - 0.5 sin x suggests that the function has a root near x = 1.5. Use one application of Newton’s method to improve this estimate. That is, start with x₀ = 1.5 and find x₁. (The value of the root is 1.49870 to five decimal places.) Remember to use radians.