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View Full Version : How to solve 'x tanx=0.04'?


joe.vimal
Aug 13, 2010, 01:19 AM
I need x form "x tanx=0.04"

galactus
Aug 13, 2010, 09:35 AM
This may be difficult to solve algebraically. Try Newton's method.

x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}

So, we have:

x-\frac{xtan(x)-.04}{tan(x)+xsec^{2}(x)}

There are several solutions.

Let the initial guess be {\pi}.

It should converge quickly to one such solution.