## adjacent leg

### In mathematics, specifically in trigonometry, the term “adjacent leg” refers to one of the two sides of a right triangle that form the angle of interest

In mathematics, specifically in trigonometry, the term “adjacent leg” refers to one of the two sides of a right triangle that form the angle of interest. The adjacent leg is the side that is adjacent or next to the angle being considered.

In a right triangle, which is a triangle with one angle measuring 90 degrees, the two sides that are not the hypotenuse are known as the legs. One of these legs is considered the adjacent leg if it is adjacent to the angle under consideration.

To better understand the concept, let’s consider an example. Imagine you have a right triangle ABC, where angle A is the angle of interest. If side AB is adjacent to angle A, then we refer to it as the adjacent leg.

The adjacent leg is significant in trigonometry because it allows us to define and calculate trigonometric functions such as cosine (cos), secant (sec), and cotangent (cot). For example, the cosine of angle A would be defined as the ratio of the length of the adjacent leg (AB) to the length of the hypotenuse (AC).

Overall, understanding the concept of adjacent leg is crucial for solving trigonometric problems and working with right triangles. It helps us relate the lengths of the sides to the angles within the triangle.

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