MHB ACT.trig.01 What is the period of the function csc 4x

[karush]

$\tiny{ACT.trig.01}$
What is the period of the function $f(x)=\csc{4x}$
$a. \pi \quad b, 2\pi \quad c. 4\pi \quad d. \dfrac{\pi}{4} \quad e. \dfrac{\pi}{2}$

well we should know the answer by observation
but I had to graph it
looks like $\dfrac{\pi}{2}$

 

[skeeter]

$y = \csc(Bx)$$T = \dfrac{2\pi}{B} = \dfrac{2\pi}{4} = \dfrac{\pi}{2}$

 

[karush]

Hard to remember stuff like that
my mind freezes at tests alto I got some A's occasionally:unsure: