The period of the function
$f (x) = 2 sin x + 3 cos 2 x$ is

π

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2 π

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\frac{π}{2}

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None of these

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Solution

The correct option is B $2 π$
$2 sin x$ is a periodic function of period $2 π$ and $3 cos 2 x$ is a periodic function of period $π$ .
Therefore, $f (x) = 2 sin x + 3 cos 2 x$ has period LCM of $π, 2 π = 2 π$ .

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The period of the function f(x)=2sinx+3cos2x is

The correct option is B 2π2sinx is a periodic function of period 2π and 3cos2x is a periodic function of period π. Therefore, f(x)=2sinx+3cos2x has period LCM of π,2π=2π.

The period of the function
$f (x) = 2 sin x + 3 cos 2 x$ is

The correct option is B $2 π$
$2 sin x$ is a periodic function of period $2 π$ and $3 cos 2 x$ is a periodic function of period $π$ .
Therefore, $f (x) = 2 sin x + 3 cos 2 x$ has period LCM of $π, 2 π = 2 π$ .