How to find the root of the equation $x\sin x-1=0$ between [2 , 3] using fixed point iteration? I tried $x=1/\sin x$ and $x=\arcsin (1/x)$ but does not converge the root between [2 , 3].
2026-03-28 08:38:06.1774687086
Root of $x\sin x-1=0$ using fixed point iteration
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The arcsine always returns a value in $[-\pi/2,\pi/2]$ so you want $x=\pi-\arcsin(1/x)$