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William Briand · Answer 1 · 2023-02-02T23:59:55+0000

$I\: and\: II\: only$

1) In this problem, we need to keep in mind that the cosecant is reciprocal to the sine function.

2) Thus, we can write out the following:

$\begin{gathered} csc(\theta)=(1)/(\sin (\theta)) \\ \csc (0)=(1)/(\sin (0))=(1)/(0)=Undefined \\ \csc (180)=(1)/(\sin (180))=(1)/(0)=Undefined \\ \csc (270)=(1)/(\sin (270))=(1)/(-1)=-1 \end{gathered}$

Note that we have then undefinition, for no number can be divided by 0.

The answer is:

$I\: and\: II\: only$

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