Try another version of this question
For the function f(x)=sin(x), write Newton's formula as xn+1=xn-f(xn)f′(xn) for solving f(x)=0.
xn+1=
To apply Newton's method, focus on the structure of the given formula: xn+1=xn-f(xn)f′(xn). 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 xn. Pay attention to simplifying the fraction if possible.
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
xn-sin(xn)cos(xn)