Can this equation be solved? x+sin(x)=11π48
Can this equation be solved?
Answer & Explanation
is monotonically increasing, and without bounds, so there will be exactly one solution.
is (relatively) small, so a first guess is obtained by setting to get . An improved value is obtained by including the next term of the sine series,
This gives the numerical value x=0.3638613210103829 which is already close to the (more) exact value 0.363965532996313