Introduction: Originally TRIGONOMETRY is the branch of mathematics which is concerned with solving triangles using trigonometric ratios which were seen as properties of triangles rather then of angles. The word Trigonometry comes from the Greek words: Treis = three, Gonia = angle and Metron= measure. The Early Greeks developed the subject by studying the relationship between the arc of the circle - the measure of the central angle - and the chord of the arc. Initially it was used in Astronomy but later it was much used in Architecture, Navigation, Surveying and Engineering, but in the last two centuries it has been used more for Mathematical Analysis and for repeating Waves and Periodic Phenomena The invention of trigonometry can be associated with certainty to the studies of astronomy of the geometric school of Alexandria. The Egyptian city of Alexandria, which bears the name of ALEXANDER Heptarchs of Rhodes (II century. B.C.) is called the founder of trigonometry although spherical geometry had been discussed by Eudoxus of Cnidos and Euclid from Alexandria. Theodosiu......

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