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The fundament...

Question

The fundamental period of the signal $x (t) = 2 cos (\frac{2 π t}{3}) + cos (π t)$ , in seconds, is _______.

6

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Solution

The correct option is A 6
$ω_{1} = \frac{2 π}{3}, ω_{2} = π$

$ω = \frac{H C F (2 π, π)}{L C M (3, 1)} = \frac{π}{3}$

$T = \frac{2 π}{ω} = \frac{2 π}{\frac{π}{3}}$

$∴ T = 6 sec .$

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