According to the sine formula (SOH), how do you define sine?

The sine function, often abbreviated as sin, is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. This relationship is a fundamental concept in trigonometry and is represented by the acronym SOH, which stands for "Sine = Opposite/Hypotenuse."

In the context of a right triangle, if you select an angle (other than the right angle), the side that is opposite to this angle is referred to as the "opposite" side, while the longest side of the triangle, which is opposite the right angle, is called the "hypotenuse." The sine value provides a way to determine the relationship between these two sides in relation to the angle.

This understanding is crucial for solving problems involving right triangles and for applications in various fields such as physics, engineering, and architecture, wherein the relationships between angles and sides are vital for accurate calculations. Thus, the choice defining sine as Opposite/Hypotenuse aligns perfectly with this established trigonometric relationship.