First slide

Functions (XII)

Question

$Let f (x) = \cos (p x) + \sin x be periodic, then p must be :$

Moderate

A

$Positive real number$
B

$Rational$
C

$Prime$
D

$Negative real number$

Solution

$f (x) = \cos p x + \sin x$
$Period : L.C.M. of (\frac{2 π}{p}, \frac{2 π}{1})$
$For period to exist p should be a rational number.$

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