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  4. The number of solutions of the equation 2 cos x=| sin x| in [-2 π, 2 π]

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

Trigonometric Functions

Solution:

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