Example

Consider the equation:

$$\left (\sin(t)-1/2\right )\left (\sin(t)-1/2\,\sqrt {3}\right )\left ( \cos(t)-1/2\,\sqrt {2}\right )=0$$

which has as roots: $\pi/6 (0.5235)$, $\pi/4 (0.7853)$, $\pi/3 (1.047)$, $2\pi/3 (2.094)$, $5\pi/6 (2.617)$, $7\pi/4 (5.497)$. The procedure returns 2 angle intervals: [0.517117,2.62532], [5.49664,5.50734].