Construct the graphs of the following functions.
$y = c o s (| x | + \frac{π}{2}) / s i n x .$

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Solution

$c o s (| x | + \frac{π}{2}) = - s i n (| x |)$

if $x > 0$ then the function becomes $- 1$
if $x < 0$ then it becomes +1
it is not defined when $x = 0$

Hence, we get the above graph

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