Question

the period of the function f(x)= |cos^3 3x| is pi/3. True or false with full explanation

Answer 1

Solution

The function $y = \left| {\,{{\cos }^3}\left( {3x} \right)\,} \right|$ is plotted and is shown below.

As per the plot above a couple of cycles has been plotted

It is obvious that the period is $p = \frac{\pi }{3}$

Hence the statement "the period of the function f(x)= |cos^3 3x| is pi/3", is TRUE