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. Identify the sides relative to :

The hypotenuse of the right - triangle  (since ) is .

The side opposite to  is .

2. Calculate the cosecant of :

Using the formula , substituting

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