Total number of roots of the equation $3^{cos x} = | sin x |,$ belonging to $[- 2 π, 2 π]$ are:

6

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8

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10

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12

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Solution

The correct option is B $8$
By plotting graph of $3^{cos x}$ and $∣ sin x ∣$ it can be easily seen that for
each interval of $π$ both curve intersect twice so in $[- 2 π, 2 π]$ number of solutions are 8

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