The number of solutions for $\cos{x}=x$ is:
• A
$0$
• B
$1$
• C
$2$
• D
$3$

#### Solution

As, $\cos{x}=x$
$\therefore$ to plot the curve for $y=\cos{x}; y=x$ and find the point of intersection as to obtain number of solutions.
Here, the two curves intersect at point $A$.
So, $\cos{x}=x$ has only one solution.