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  1. In Chapter 2 we represent an angle as radian measure and convert degrees to radians and radians to degrees. In Chapter 3 we review the definition of the trigonometric ratios in a right angled triangle. In Chapter 4, we extend these ideas and define cosine, sine and tangent as functions of real numbers.

  2. Trigonometry Lecture Notes. Section 5.1. Angles and Their Measure. Definitions: A Ray is part of a line that has only one end point and extends forever in the opposite direction. An Angle is formed by two rays that have a common endpoint. One ray is called the initial side and the other is called the terminal side.

  3. Trigonometry is the study of lengths and angles in triangles. This section looks at trigonometry in right-angled triangles. In a right-angled triangle the side opposite the right angle is the hypotenuse, which is the longest side. † AC is the hypotenuse † AB is adjacent to angle A (•) † BC is opposite • Investigation • right-angled ...

  4. 13.1 Definitions of the Trigonometric Functions. Consider an angle with origin (vertex) at the origin of the coordinate system and two rays where the initial side ray is along the x-axis and terminal side ray is at the end of a rotation of angle θ.

  5. Trigonometric functions are special kinds of functions that express relationships between the angles of right triangles and their sides. For example, consider the right triangle (with hypotenuse 1) drawn below.

  6. Trigonometric ratios of allied, compound, multiple and sub-multiple angles, Fac- torization and defactorization formula, Inverse Trigonometric ratios, Properties of Triangle.

  7. The simplest way to describe an angle measure, or the amount of circular rotation, is to describe it as the proportion of one full revolution, ‘Rev’ for short. The following angles show measures of one revolution, half a revolution, and a quarter of a revolution. 1 The phrase ‘at least’ will be justified in short order.

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