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.