Statement 2: The equation $x - \cos x = 0$ has a unique solution in the interval $\left[ 0 ; \frac{\pi}{2} \right]$. Indicate whether this statement is true or false, justifying your answer.
\textbf{Statement 2:} The equation $x - \cos x = 0$ has a unique solution in the interval $\left[ 0 ; \frac{\pi}{2} \right]$.
Indicate whether this statement is true or false, justifying your answer.