I'm looking for the inverse of

$$f(x)=x^2+(\log\cos x)^2$$

Where $f$ is defined from $[0,\pi/2)$

It dosen't have to be closed form, a sum, an integral or some special functions would be of interest too.

  • $\begingroup$ Have you tried anything? $\endgroup$ – Mhenni Benghorbal Sep 1 '14 at 4:56
  • $\begingroup$ @MhenniBenghorbal I tried WA and sagemath, but none of them can solve it, and I know no theorems I can use. $\endgroup$ – Alice Ryhl Sep 1 '14 at 4:58
  • $\begingroup$ Where did this problem come from? $\endgroup$ – Mhenni Benghorbal Sep 1 '14 at 5:04
  • $\begingroup$ @MhenniBenghorbal From this post, read the comments of the post $\endgroup$ – Alice Ryhl Sep 1 '14 at 5:12

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