sine = [tex] \dfrac{\text{opposite}}{\text{hypotenuse}} [/tex]
sine = [tex] \dfrac{3}{3 \sqrt{5}} [/tex]
sine = [tex] \dfrac{1}{ \sqrt{5} } [/tex]
Cosecant is reciprocal of sine, that means
cosecant = [tex] \dfrac{1}{\text{sine}} [/tex]
input the value of sine
cosecant = [tex] \dfrac{1}{ \dfrac{1}{ \sqrt{5} } } [/tex]
cosecant = [tex]1: \dfrac{1}{ \sqrt{5}}[/tex]
cosecant = [tex]1 \times \dfrac{ \sqrt{5} } {1}[/tex]
cosecant = [tex] \sqrt{5} [/tex]
The answer is first option
