Mathematics - Trigonometric Equation Question with Solution | TestHub

An equation $f(x)=g(x)$ has one solution for each distinct intersection of $y=f(x)$ and $y=g(x)$. How many solutions does $|\cos x|=2\lfloor x\rfloor$ have? Here $\lfloor x\rfloor$ is the greatest integer not exceeding $x$.