QuestionSolve $2 \sin x+1=0$. Show solution graphically.

Studdy Solution
Graph the function $y = 2\sin x + 1$ and indicate the solutions:
1. Plot the graph of $y = 2\sin x + 1$.
2. Identify where the graph intersects the line $y = 0$.
3. Mark the solutions $x = \frac{7\pi}{6}$ and $x = \frac{11\pi}{6}$ on the graph.
The solutions to the equation $2 \sin x + 1 = 0$ within the interval $[0, 2\pi]$ are:
$$x = \frac{7\pi}{6}, \frac{11\pi}{6}$$