Answer :
[tex]\boxed{\bold{\red{csc\theta=-\frac{7}{2}}}}[/tex]
[tex]\large{\red{Solution\: given:}}[/tex]
[tex] Sin\theta=\frac{-2}{7}[/tex]
we have
[tex]cosec \theta=\frac{1}{Sin\theta} =\frac{1}{\frac{-2}{7}}\\=-\frac{7}{2}[/tex]
[tex]\boxed{\bold{\red{csc\theta=-\frac{7}{2}}}}[/tex]
[tex]\large{\red{Solution\: given:}}[/tex]
[tex] Sin\theta=\frac{-2}{7}[/tex]
we have
[tex]cosec \theta=\frac{1}{Sin\theta} =\frac{1}{\frac{-2}{7}}\\=-\frac{7}{2}[/tex]