Question

The number of solutions of the equation $2^{\cos x}=|\sin x|$ in $[-2\pi ,2\pi ]$

• A. 8
• B. 4
• C. 6
• D. 10

Answer 1

Answer: (D)

There are two intersections in $[0,\pi ]$, similarly in 2 in $[\pi ,2\pi ]$ etc.
$\therefore$ Total number of solutions in $[-2\pi ,2\pi ]=8$.