Search results
Trigonometry, as the word implies, is concerned with the measurement of the parts, sides and angles, of a triangle. Plane trigonometry, which is the topic of this book, is restricted to triangles lying in a plane.
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 ...
know how cos, sin and tan functions are defined for all real numbers; be able to sketch the graph of certain trigonometric functions; know how to differentiate the cos, sin and tan functions; understand the definition of the inverse function f−1(x) = cos− 1(x).
This book covers the major topics within the study of trigonometry, including vectors and their applications. At the University of Minnesota, this material is 75% of the PreCalculus II course, with the remaining 25% of that course covering algebraic topics which are included in a separate text.
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.
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.
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.
