doubt 3

Prove the cos x2 is not periodic.

3 Answers

1
injun joe ·

Let cos x2 be periodic
f(x+T)= f(x)
cos(x+T)2=cos x2
(x+T)2=2nπ±x2
x2+2Tx+T2±x2=2nπ
The above relation is not possible!!!
:)

6
nix_13 12 ·

y not possible ???plz explain

1
injun joe ·

It is not possible because RHS is an integral multiple of 2Ï€ and LHS is a quadratic in x,

For eg. for x=0 and x=T,
T2=2nπ and 4T2±T2

implies
4T2±T2=T2
4±1=1
Which is not possible:)

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