Plot a function in polar coordinates: $$\varphi=\arccos\frac{r-1}{r^2}$$ Is there any way to express $r$ through $\varphi$? I don't really get how to do this ploblem without it. Restrictions: $$r \ge \frac{-1+\sqrt5}{2} \\ 0\le \varphi\le \pi$$ I'm stuck and have no clue how to graph it
2026-04-08 17:27:05.1775669225
Plot a function $\varphi=\arccos\frac{r-1}{r^2}$ in polar coordinates
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Start by $$ (cos \phi) r^2 - r +1 = 0 $$ solve the quadratic equation and apply the restrictions.