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10 Secret Trig Functions Your Math Teachers Never Taught You - Scientific American Blog Network
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Trigonometry , the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine sin , cosine cos , tangent tan , cotangent cot , secant sec , and cosecant csc. These six trigonometric functions in relation to a right triangle are displayed in the figure. For example, the triangle contains an angle A , and the ratio of the side opposite to A and the side opposite to the right angle the hypotenuse is called the sine of A , or sin A ; the other trigonometry functions are defined similarly.
The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Throughout history, trigonometry has been applied in areas such as geodesy , surveying , celestial mechanics , and navigation. Trigonometry is known for its many identities. These trigonometric identities   are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation.