Sin, cos, and tan are the fundamental trigonometric ratios used in right-angled triangles to relate angles and side lengths. They are defined as follows: Sin (Sine): The ratio of the length of the opposite side to the length of the hypotenuse. Cos (Cosine): The ratio of the length of the adjacent side to the length of the hypotenuse. Tan (Tangent): The ratio of the length of the opposite side to the length of the adjacent side. These ratios are often written as sin(x), cos(x), and tan(x), where