Question 61162


Mathematical discipline dealing with the relationships between the sides and angles of triangles.
 Literally, it means triangle measurement, though its applications extend far beyond geometry.
 It emerged as a rigorous discipline in the 15th century, when the demand for accurate surveying techniques and navigational methods led to its use for the “solution” of right triangles, or the calculation of the lengths of two sides of a right triangle given one of its acute angles and the length of one side.
 The solution can be found by using ratios in the form of the trigonometric functions.


Trigomometry originated as the study of certain mathematical relations originally defined in terms of the angles and sides of a right triangle, i.e., one containing a right angle (90°). Six basic relations, or trigonometric functions, are defined.


The trigonometric functions are defined in terms of the angles and sides of a right triangle.
If A, B, and C are the measures of the angles of a right triangle (C=90°) and a, b, and c are the lengths of the respective sides opposite these angles, then the six functions are expressed for one of the acute angles, say A, as various ratios of the opposite side (a), the adjacent side (b), and the hypotenuse (c),