Law of sines
defintion
The Law of Sines, also known as the Sine Rule, is a mathematical principle used in trigonometry to find the unknown sides and angles of a triangle, given the measurements of two sides and the angle opposite one of those sides or the measurements of two angles and the length of one side. The Law of Sines states that the ratio of the length of a side to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. This law is expressed mathematically as follows:
sin A / a = sin B / b = sin C / c,
where A, B, and C are the angles of the triangle and a, b, and c are the lengths of the sides opposite these angles, respectively.
The Law of Sines is a fundamental principle in trigonometry that relates the sides of a triangle to their opposing angles. It states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all sides and angles of the triangle.
In mathematical terms, for any triangle with sides a, b, and c opposite angles A, B, and C respectively, the Law of Sines can be expressed as:
a/sin(A) = b/sin(B) = c/sin(C)