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f(x)=cospx+sinpx is periodic then p must be rational or irrational or can be postive real number.Thanks

Jitender Singh IIT Delhi
6 years ago
Ans:
$f(x) = cos(x)$
$f(x) = sin(x)$
are periodic function with a period of 2pi.
$f(x) = cos(px)$
$f(x) = sin(px)$
are periodic with a period of
$\frac{2\pi }{|p|}, p\neq 0$
p can be anything other than zero.
Thanks & Regards
Jitender Singh
IIT Delhi