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

1 Answer
Jun 19, 2018

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

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#