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I am relatively new to Sage. Can someone please help me how to solve:

$$ \tan (x) - x/10 = 0$$ numerically?

user120250
  • 377

1 Answers1

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According to Sage docs:

find_root(tan(x)-x/10, a, b)

find a numerical root of this function on the interval $[a,b]$. The numerical method is likely to have problems with discontinuities of $\tan x$, so it is best to pick intervals between $\pi/2+\pi n$. For example, 

find_root(tan(x)-x/10, pi/2, pi/2+pi)

returns 3.47614030869725,

find_root(tan(x)-x/10, pi/2+pi, pi/2+2*pi)

returns 6.886235172066371, and so on. You can write a for loop to produce a bunch of those.

  • Thank you, but this would not be the right answer. In this point there is intersection with asymptote of tan. Please see the picture http://pokit.org/get/img/cd9b7c5202f47e988b4ae5da05ca1984.jpg . The first correct answer would be 3.47614030869725 . – user120250 Dec 14 '14 at 11:21
  • That's right; I corrected the answer. –  Dec 14 '14 at 17:23