What are the three ratios of a triangle?

The three ratios of a right triangle, which are commonly referred to in trigonometry, are sine, cosine, and tangent. These ratios help describe the relationships between the angles and sides of the triangle.

Sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse. Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Understanding these ratios is crucial in solving problems involving right triangles, allowing for calculations of unknown angles or lengths. This foundational knowledge is also applicable in various fields such as physics, engineering, and architecture, where right triangles frequently arise in practical applications.