What is the period of $f(t)=cos 8 t$ ?

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Answer 1 · 2018-06-19T17:50:27

The period is $pi/4$ . See explanation.

For any trigonometric function if the variable is multiplied by $a$ then the period is $a$ times smaller.

Here the basic function is $cost$ , so the basic period is $2pi$ . The coefficient by which $t$ is multiplied is $8$ , so the new period is:

$T=(2pi)/8=pi/4$