bove is the graph of y = sin x and the line y = 1/2 over the interval [0,2 pi]. Where do the two graphs intersect? Give exact answers in ra

bove is the graph of y = sin x and the line y = 1/2 over the interval [0,2 pi]. Where do the two graphs intersect? Give exact answers in rad

$$\small{\text{$ \begin{array}{rcl|rcl} \sin{(x_1)} &=& \frac12 \qquad & \qquad \sin{(x_1)} &=& \sin{ (180\ensurement{^{\circ}} -x_2) } =\frac12 \\ &&&\\ x_1 &=& \arcsin{( \frac12 )} \qquad & \qquad \sin{ (180\ensurement{^{\circ}} - x_2) } &=&\frac12 \\ &&&\\ x_1 &=& 30\ensurement{^{\circ}} \qquad & \qquad 180\ensurement{^{\circ}} - x_2 &=& \arcsin{( \frac12 )} \\ &&&\\ x_1 &=& \frac{\pi}{6} \qquad & \qquad x_2 &=& 180\ensurement{^{\circ}}-\arcsin{( \frac12 )} \\ &&&\\ &&\qquad & x_2 &=& 180\ensurement{^{\circ}}-30\ensurement{^{\circ}}\\ &&&\\ &&\qquad & x_2 &=& 150\ensurement{^{\circ}}\\ &&&\\ &&\qquad & x_2 &=& \frac56 \cdot \pi\\ \end{array} $}}$$