# TRIGONOMETRY

May 19th, 2015
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Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics that deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees (right angled triangles). It specifically deals with the relationships between the sides and the angles of triangles; the trigonometric functions, and calculations based upon them.

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UNIT 3TRIGONOMETRY3.1 Introduction Trigonometry (from Greek trignon "triangle" + metron "measure") is a branch of mathematics that deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees (right angled triangles). It specifically deals with the relationships between the sides and the angles of triangles; the trigonometric functions, and calculations based upon them. The insights of trigonometry permeate other branches of geometry, such as the study of spheres using spherical trigonometry.Trigonometry has important applications in many branches of pure mathematics as well as of applied mathematics and, consequently remains applicable in natural sciences. Trigonometry is usually taught in secondary schools, often in a precalculus course.ObjectivesAt the end of the topic, you will be able to:Determine the values of trigonometric ratios for any acute angle. Verify trigonometric identities.Learn what a (trigonometric) identity is and how to solve trigonometric equations.Learn and memorize the basic identities involving sine and cosine that are result of the definitions of tangent, cotangent, secant, and cosecant. Learn the sine and cosine of the negative of an angle measure.3.2 Trigonometric ratioFigure 3.1In a right-angled triangle as shown in Figure 3.1,(a) the hypotenuse is the side opposite to the right angle,(b) the opposite side of the angle is the side opposite to the angle ,(c) the adjacent side o

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