Geometry

Question Analysis

The main focus of this question is to find the cosecant of in a right - triangle. It requires understanding the definition of cosecant and correctly identifying the hypotenuse and the opposite side relative to .

 

Key Concept Explanation

The cosecant of an acute angle in a right - triangle is defined as .

 

Step - by - Step Solution

1. Assume in a right - triangle (not shown here, but based on the problem context) for , we need to identify the hypotenuse and the opposite side.

Let's assume the hypotenuse is 85 and the opposite side to is 77 (since we need to match the correct ratio).

2. Calculate the cosecant of :

Using the formula , substituting

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