Question

The number of solution of `2cosx=|sinx|` where `x in [0.4pi]` is/are

Answer 1

To find the number of solutions to the equation `2cosx=|sinx|,0lexle4pi`, we need to find how many times the graphs of `y=2cosxandy=|sinx|` intersect in `[0,4pi]`.
The graphs of `y=2cosxandy=|sinx|` are plotted as ss

We find that the graphs intersect at four points. Hence the equation has four solutions.