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it is translated to the right \[\frac{\pi}{4}\] units
shifted to the right
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in general if p is a positive number the graph of \[y=f(x-p)\] is a shift to the right p units compared to the graph of \[y=f(x)\] this has nothing really to do with secant
\[\csc(x)=\sqrt{2}\iff \sin(x)=\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}\]
on the interval \[[0,2\pi)\]this occurs at \[\frac{\pi}{4}\]and \[\frac{3\pi}{4}\]
oh but your interval is larger, it is \[[-2\pi,2\pi]\]
so also \[-\frac{5\pi}{4}, -\frac{7\pi}{4}\]
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so it would be option 2?
uh no i don't think so
at \[\frac{5\pi}{4}\] sine is negative and therefore so is cosecant
but none of my options have -5pi/4, -7pi/4
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