Question

x(t)=cos(0.1*pi*n)find the period​

Answer 1

SOLUTION

TO DETERMINE

The period of function

$\sf{x(t) = \cos (0.1\pi n)}$

EVALUATION

Here the given function is

$\sf{x(t) = \cos (0.1\pi n)}$

Which is of the form

$\sf{x(t) = a\cos (b n)} + c$

Hence the required period

$\sf{ = \dfrac{2\pi}{ |b| } }$

$\sf{ = \dfrac{2\pi}{ |0.1\pi| } }$

$\sf{ = \dfrac{2}{ 0.1} }$

$\sf{ =20}$

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