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STATEMENT - I : Let the function $f (x) = \sin 2 x, g (x) = \sin x$ , then the period of $f (x) + g (x)$ is $2 π$ .
STATEMENT - II : The period of a function $\tan \sqrt{x}$ is no value.

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Only I

Only II

Both I and II

neither I or II

answer is C.

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Detailed Solution

Statement-I: The period of $\sin 2 x$ is $π$

The period of $\sin x$ is $2 π$

$∴ L C M {π, 2 π}$ is $2 π$ is true.

Statement-II: The period of $\tan \sqrt{x}$ is $\tan x^{1 / 2}$ or is $π$ (false).

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