Geometry

Question Analysis

The main focus of this question is to determine the correct trigonometric ratio among the given options for angles  and  in a right - triangle. It requires understanding the definitions of cosecant (csc), secant (sec), and cotangent (cot) and correctly identifying the sides relative to the respective angles.

 

Key Concept Explanation

Cosecant (csc):

Secant (sec):

Cotangent (cot):

 

Step - by - Step Solution

1. For :

The hypotenuse is , and the opposite side to  is . So, .

2. For :

The hypotenuse is , and the adjacent side to  is . So, , not .

3. For :

The adjacent side to