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

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  • #1
karush
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$\tiny{ACT.trig.01}$
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 $\dfrac{\pi}{2}$
 

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  • #2
skeeter
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$y = \csc(Bx)$


$T = \dfrac{2\pi}{B} = \dfrac{2\pi}{4} = \dfrac{\pi}{2}$
 
  • #3
karush
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Hard to remember stuff like that
my mind freezes at tests alto I got some A's occasionally:unsure:
 

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