Answer
Yes, see graph and explanations.
Work Step by Step
Step 1. Graph the function $y=cos(x)$ and label a few points as shown in the figure.
Step 2. To estimate the solution of the function, we can use Newton's Method by approaching the zero with tangent lines.
Step 3. Because the function has an infinite number of solutions, it is important to start within a short range of the zero to be estimated. In this case, to estimate $x=\frac{\pi}{2}$, the stating point should be $x_0\in(0,\pi)$
Step 4. If we start at $x_0=\frac{5\pi}{4}$, for example, we will end up getting the value of $x=\frac{3\pi}{2}$ as shown in the figure.