Geometry

Question Analysis

The main focus of this question is to test your knowledge of the reciprocal relationships among basic trigonometric ratios.

Key Concept Explanation

In trigonometry, for an acute angle in a right - triangle, the cosine function is defined as . The reciprocal of a fraction  is . So, the reciprocal of  is , which is the definition of the secant function ().

Step - by - Step Solution

1. Recall the definition of cosine: .

2. Find the reciprocal: Flip the fraction  to get .

3. Identify the corresponding trigonometric function: The function with the ratio  is the secant function,

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