Q:

Number of solutions of $2^{\cos x}=|\sin x|$

I have tried a lot on solving this question, but i m unable to simplify the expression.

Find the total number of solutions of $2^{\cos x}=|\sin x|$ where $x\in[-2π,5π]$.

See the answer below for the OP's thoughts.

A:

Sorry to bother you guys I finally did it myself
The graph of 2^cosx will cut |sin x| two times in interval of π , so total solutions will be 2×(5+2)= 14.

