Question

The number of solution of the equation $\left|\cos (x-\frac{\pi }{6})\right|=|\sin x|$ in $[0,\pi ]$ is

Answer 1

Draw the graph of $y=\left|\cos (x-\frac{\pi }{6})\right|$ and $y=|\sin x|$.


The number of solutions of $\left|\cos (x-\frac{\pi }{6})\right|=|\sin x|$ is the number of points of intersection of both the curves.

Therefore, the number of solutions is $2.$