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.
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Have you tried anything? – Mhenni Benghorbal Sep 01 '14 at 04:56
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@MhenniBenghorbal I tried WA and sagemath, but none of them can solve it, and I know no theorems I can use. – Alice Ryhl Sep 01 '14 at 04:58
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Where did this problem come from? – Mhenni Benghorbal Sep 01 '14 at 05:04
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@MhenniBenghorbal From this post, read the comments of the post – Alice Ryhl Sep 01 '14 at 05:12
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Would it be ok to invert the function over a smaller interval? – Тyma Gaidash Jun 28 '23 at 21:13
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@TymaGaidash Sure, that's better than nothing. – Alice Ryhl Jun 30 '23 at 13:35