Using the right triangle below find the cosecant of angle A.

Answer:
[tex]\frac{2}{\sqrt{3}}[/tex] (2 over the square root of 3).
Step-by-step explanation:
csc(x) = 1/sin x
So let's find sin x. We can use right triangles ratios to find the answer of [tex]\frac{\sqrt{6}}{2\sqrt{2}}[/tex], rationalizes to [tex]\frac{\sqrt{3}}{2}[/tex].
As we are finding the reciprocal of the sine ratio, we end up with the answer of [tex]\frac{2}{\sqrt{3}}[/tex] (2 over the square root of 3).