Using the key features of the given graph, draw the reciprocal function that corresponds to it and identify the equation of the resulting function.

Graph the following function. Consider only one period.

$y=\sec\left(x+\frac{3\pi}{2}\right)$

Find the domain and range of the function given below.

g(x) = -6 csc (8x + π/2)

Write the general equation of the asymptotes of the graph of the function given below.

$y=-5-\cot (x-\frac{\pi }{6})$