Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and navigation. The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam. The subject came to fruition in Early Modern times with important developments by John Napier, Delambre and others, and attained an essentially complete form by the end of the nineteenth century with the publication of Todhunter's textbook Spherical trigonometry for the use of colleges and Schools.Since then, significant developments have been the application of vector methods, quaternion methods, and the use of numerical methods. (Wikipedia).
Trigonometry 4 The Area of a Triangle
Various ways of using trigonometry to determine the area of a triangle.
From playlist Trigonometry
3D Trigonometry Example (1 of 2: Setting up the triangles)
More resources available at www.misterwootube.com
From playlist Trigonometry and Measure of Angles
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
Trigonometry full course for Beginners
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of #triangles. Throughout history, #trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation. Trigonometry is known for its many identities, whic
From playlist Trigonometry
Trigonometry and Bearings: Quick Setups
#Trigonometry & #bearings: Set ups. Quick formative assessment: http://ow.ly/BMYe50I7kVs & http://ow.ly/p1JR50I7kVw. #GeoGebra
From playlist Trigonometry: Dynamic Interactives!
Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
Math Ts: SAVE TIME & have your Trigonometry Ss (formatively) assess their own work! After solving a problem or 2 (like this), send them here: https://www.geogebra.org/m/hK5QfXah .
From playlist Trigonometry: Dynamic Interactives!
Trigonometry - Vocabulary of trigonometric functions
In this video will cover some of the basic vocabulary that you'll hear when working with trigonometric functions. Specifically we'll cover what is trigonometry, angles, and defining the trigonometric functions as ratios of sides. You'll hear these terms again as we dig deeper into the st
From playlist Trigonometry
In this video I will show you a book that teaches math that is no longer taught today. This a subject that used to be taught long ago. It is called Spherical Trigonometry. The book in the video is titled Spherical Trigonometry and it was written by Raymond Brink. Here are a few copies ht
From playlist Book Reviews
Trigonometry for Beginners || Trigonometry Basics
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. This math video tutorial provides a basic introduction into #trigonometry. It covers trigonometric functions, ratios such as sine, cosine, and tangent, converting polar coordin
From playlist Trigonometry
Applications of rational spherical trigonometry II | Universal Hyperbolic Geometry 44
We look at a famous motivating problem from spherical trigonometry: how to figure out the separation between two points on the sphere with given latitude and longitude. In particular we look at Sydney Australia and New Delhi India, and calculate both how far apart they are, and what bearin
From playlist Universal Hyperbolic Geometry
MIT 3.60 | Lec 7b: Symmetry, Structure, Tensor Properties of Materials
Part 2: 2D Plane Groups, Lattices (cont.) View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
Classical spherical trigonometry | Universal Hyperbolic Geometry 36 | NJ Wildberger
This video presents a summary of classical spherical trigonometry. First we define spherical distance between two points on a sphere, then the angle between two lines on a sphere (i.e. great circles). After a quick reminder of the circular functions cos,sin and tan, we present the main la
From playlist Universal Hyperbolic Geometry
Strange Math Books That Will Make You Wonder
We take a look at 10 super interesting math books. These books probably contain math you've never seen before or you didn't know existed. They are pretty cool. The Theory of Spinors: https://amzn.to/3ZyBHv3 The Integration of Functions of a Single Variable: https://amzn.to/40DJj08 Origam
From playlist Book Reviews
Applications of rational spherical trigonometry I | Universal Hyperbolic Geometry 43 | NJ Wildberger
We review the basics of rational spherical/elliptic trigonometry, a cleaner more logical view of classical spherical trigonometry which is intimately linked with hyperbolic geometry. We illustrate the basic laws by having an in-depth look at a specific example of a spherical triangle, fo
From playlist Universal Hyperbolic Geometry
Three dimensional geometry, Zome, and the elusive tetrahedron (Pure Maths Seminar, Aug 2012)
This is a Pure Maths Seminar given in Aug 2012 by Assoc Prof N J Wildberger of the School of Mathematics and Statistics UNSW. The seminar describes the trigonometry of a tetrahedron using rational trigonometry. Examples are taken from the Zome construction system.
From playlist Pure seminars
Live CEOing Ep 688: Language Design in Wolfram Language [SphericalDistance, LevelMap, and More]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Ramanujan Learned Math With This Book
In this video I will show you the book that the legendary Indian Mathematician Srinivasa Ramanujan used used to learn math. This is a very interesting book with tons of results. The book is titled A Synopsis of Elementary Results in Pure and Applied Mathematics Volume 1 and it was written
From playlist Book Reviews
Trigonometry 6 The Sine of the Sum and the Difference of Two Angles
A description of the sine function of the sum and difference of two angles.
From playlist Trigonometry