SOLUTION:
Step 1:
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
Step 2:
In this triangle PQR, where the angle under consideration is P,
the hypotenuse is 53, the opposite is 28 and the adjacent side is 45.
Step 3:
From the definition in step 1,
[tex]\begin{gathered} \text{Cosecant P = }\frac{\text{hypotenuse}}{\text{opposite}} \\ \\ \text{Cosecant P = }\frac{53}{28} \\ \end{gathered}[/tex]
CONCLUSION:
The ratio that represents the cosecant of angle P is;
[tex]\frac{53}{28}[/tex]
