the following sections will outline the different operations that make up arithmetic and will explain how they developed, how they are used, how they work, and what the laws are that govern themanalytic geometry combines the generality of algebra with the precision of geometry. it is sometimes called Cartesian geometry, after Descartes, who was the first to exploit the methods of algebra in geometry. Analytic geometry addresses geometric problems from an algebraic points (a,b). General properties of such curves can then be studied in terms of their algebraic propertiestrigonometry is the study of triangles, angles, and their relations. It also involves the study of trigonometric functions. there are six trigonometric ratios associated with an angle: SINE, cosine, tangent, cotangent, secant and cosecant. there are especially useful in determining unknown angles or the sides of triangles based upon known trigonometric ratio. in antiquty, trigomometry was used with considerable success by survevors and astronomers
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