Geometry

Question Analysis

The main focus is to determine which trigonometric function is appropriate when the opposite side and the hypotenuse of a right - triangle are given. This requires a clear understanding of the definitions of sine, cosine, and tangent in relation to the sides of a right - triangle.

Key Concept Explanation

Sine (sin): In a right - triangle, , where is an acute angle. So, it directly uses the opposite side and the hypotenuse.

Cosine (cos): , which requires the adjacent side and the hypotenuse, not the opposite side.

Tangent (tan): , and it does not involve the hypotenuse in this form.

Step - by - Step Solution

1. Analyze sine: Since the formula for sine is

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