Try another version of this question For the function `f(x) = cos(x)`, write Newton's formula as `x_(n+1) = x_n-f(x_n)/(f'(x_n))` for solving `f(x)=0`. `x_(n+1)=`
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
To apply Newton's method, focus on the structure of the given formula: `x_(n+1) = x_n - f(x_n)/f'(x_n)`. You'll need to substitute the given function for `f(x)` and find its derivative. Remember the derivatives of trigonometric functions, and be careful with how you express them in terms of `x_n`. Pay attention to simplifying the fraction if possible.
Be sure your variables match those in the question `x_n-cos(x_n)/-sin(x_n)`