The number of solutions for $$\cos{x}=x$$ is:
#### 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.

- A$$0$$
- B$$1$$
- C$$2$$
- D$$3$$

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.