Is it possible to compute the inverse of the following function
$f(w)=-1+\dfrac{\cos((\frac{1}{2}+m)w)}{\cos(w)}$
when $0 \leq w \leq 2\pi$.
2026-03-30 10:42:30.1774867350
The inverse of $-1+\dfrac{\cos((\frac{1}{2}+m)w)}{\cos(w)}$
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It is not necessarily invertible on the interval $[0,2\pi]$ as shown in this example when $m=1$. You may try using other values of $m$ or other intervals at this desmos.com link.