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- https://math.libretexts.org/Courses/Chabot_College/Math_in_Society_(Zhang)/02%3A_Geometry/2.01%3A_Basic_Geometric_Concepts_and_FiguresYou use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using ...You use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using geometric terms to make sense of the environment around you. In the world of mathematics, each of these geometric terms has a specific definition. It is important to know these definitions—as well as how different figures are constructed—to become familiar with the language of geometry.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/06%3A_Trigonometric_Functions/6.02%3A_AnglesAn angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard pos...An angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis. A positive angle is measured counterclockwise from the initial side and a negative angle is measured clockwise.
- https://math.libretexts.org/Courses/Hope_College/Math_125%3A_Hope_College/05%3A_Trigonometry_Essentials/5.01%3A_AnglesAn angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard pos...An angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis. A positive angle is measured counterclockwise from the initial side and a negative angle is measured clockwise.
- https://math.libretexts.org/Courses/Quinebaug_Valley_Community_College/MAT186%3A_Pre-calculus_-_Walsh/05%3A_Trigonometric_Functions/5.01%3A_AnglesAn angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard pos...An angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis. A positive angle is measured counterclockwise from the initial side and a negative angle is measured clockwise.
- https://math.libretexts.org/Courses/Queens_College/Preparing_for_Calculus_Bootcamp_(Gangaram)/06%3A_Day_6/6.03%3A_Angles_-_Radians_and_DegreesAn angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard pos...An angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis. A positive angle is measured counterclockwise from the initial side and a negative angle is measured clockwise.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/06%3A_Triangles_and_Circles/6.01%3A_Angles_and_Basic_GeometryBefore jumping into Trigonometry, we need to build a solid foundation. This section provides the fundamental building blocks for working with the most basic quantity in Trigonometry - the angle. We de...Before jumping into Trigonometry, we need to build a solid foundation. This section provides the fundamental building blocks for working with the most basic quantity in Trigonometry - the angle. We delve into as much detail about angles as we dare, without introducing unnecessary topics. We cover a little bit of required Geometry for success in Trigonometry, and wrap things up with a brief geometric review of circles (another foundational topic for Trigonometry).
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/06%3A_Orthogonality/6.01%3A_Dot_Products_and_OrthogonalityThis page covers the concepts of dot product, vector length, distance, and orthogonality within vector spaces. It defines the dot product mathematically in \(\mathbb{R}^n\) and explains properties lik...This page covers the concepts of dot product, vector length, distance, and orthogonality within vector spaces. It defines the dot product mathematically in \(\mathbb{R}^n\) and explains properties like commutativity and distributivity. Length is derived from the dot product, and the distance between points is defined as the length of the connecting vector. Unit vectors are introduced, and orthogonality is defined as having a dot product of zero.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/13%3A_Trigonometric_Functions/13.01%3A_AnglesAn angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard pos...An angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis. A positive angle is measured counterclockwise from the initial side and a negative angle is measured clockwise.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/01%3A_Triangles_and_Circles/1.01%3A_Angles_and_Basic_GeometryBefore jumping into Trigonometry, we need to build a solid foundation. This section provides the fundamental building blocks for working with the most basic quantity in Trigonometry - the angle. We de...Before jumping into Trigonometry, we need to build a solid foundation. This section provides the fundamental building blocks for working with the most basic quantity in Trigonometry - the angle. We delve into as much detail about angles as we dare, without introducing unnecessary topics. We cover a little bit of required Geometry for success in Trigonometry, and wrap things up with a brief geometric review of circles (another foundational topic for Trigonometry).
- https://math.libretexts.org/Bookshelves/Geometry/Elementary_College_Geometry_(Africk)/01%3A_Lines_Angles_and_Triangles/1.02%3A_AnglesAn angle is the figure formed by two rays with a common end point, The two rays are called the sides of the angle and the common end point is called the vertex of the angle.
- https://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.13%3A_Trigonometric_Functions/1.13.02%3A_AnglesAn angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard pos...An angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side. The amount of rotation determines the measure of the angle. An angle is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis. A positive angle is measured counterclockwise from the initial side and a negative angle is measured clockwise.
