Question

The number of solution(s) of the equation $\cos x=|x|$ in $[-\frac{3\pi }{2},\frac{3\pi }{2}]$ is

Answer 1

The number of solutions of the equation $\cos x=|x|$ is equal to the number of points of intersection of the curve $y=\cos x$ and $y=|x|$ in $[-\frac{3\pi }{2},\frac{3\pi }{2}]$


$\therefore$ The number of solutions is $2.$