Trigonometry

Generalized trigonometry

Ordinary trigonometry studies triangles in the Euclidean plane . There are a number of ways of defining the ordinary Euclidean geometric trigonometric functions on real numbers, for example right-angled triangle definitions, unit circle definitions, series definitions, definitions via differential equations, and definitions using functional equations. Generalizations of trigonometric functions are often developed by starting with one of the above methods and adapting it to a situation other than the real numbers of Euclidean geometry. Generally, trigonometry can be the study of triples of points in any kind of geometry or space. A triangle is the polygon with the smallest number of vertices, so one direction to generalize is to study higher-dimensional analogs of angles and polygons: solid angles and polytopes such as tetrahedrons and n-simplices. (Wikipedia).

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Trigonometry 4 The Area of a Triangle

Various ways of using trigonometry to determine the area of a triangle.

From playlist Trigonometry

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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

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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

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Adding Vectors Geometrically: Dynamic Illustration

Link: https://www.geogebra.org/m/tsBer5An

From playlist Trigonometry: Dynamic Interactives!

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Projection of One Vector onto Another Vector

Link: https://www.geogebra.org/m/wjG2RjjZ

From playlist Trigonometry: Dynamic Interactives!

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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

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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!

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Rational trigonometry, generalized triangle geometry and four-fold incenter symmetry

This is a seminar talk given to the School of Mathematics and Statistcs, UNSW in April 2013. It describes joint work with Nguyen Le on a generalized triangle geometry. We begin with an introduction to rational trigonometry--an approach to the subject that is almost purely algebraic, replac

From playlist MathSeminars

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N J Wildberger Research Snapshot: Rational trigonometry and universal geometry

A brief introduction to the author's novel theory of rational trigonometry and how it allows us to extend Euclidean geometry to general fields and arbitrary quadratic forms.

From playlist Research Snapshots

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Trigonometry: Unit Circle

The unit circle plays a key role in understanding how circles and triangles are connected, as well as providing a simple way to introduce the basic trigonometric functions (sine, cosine and tangent). This video describes the unit circle very carefully with the goals of providing basic insi

From playlist Trigonometry

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Advice for prospective research mathematicians | Rational Trigonometry and spread polynomials 1

Here is a quick introduction / review of the essentials of Rational Trigonometry, with an aim to explaining the important spread polynomials / polynumbers which are more pleasant variants of the Chebyshev polynomials of the first kind. Our treatment here is quite concise, relying on a pri

From playlist Maxel inverses and orthogonal polynomials (non-Members)

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What is Trigonometry? | Introduction to Trigonometry | Don't Memorise

To know more about the different functions in Trigonometry, please enroll in our full course now - https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=T9lt6MZKLck&utm_term=%7Bkeyword%7D To watch more Trigonometry videos, click here: http

From playlist Middle School - Trigonometry

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3D Trigonometry Example (1 of 2: Setting up the triangles)

More resources available at www.misterwootube.com

From playlist Trigonometry and Measure of Angles

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Trigonometry VIII: the Law of Cosines

I provide a pretty standard proof of the Law of Cosines, which we will be using alongside the Law of Sines to prove Heron's formula for the area of a triangle, in a later video. Next, I will be continuing my videos on integrals of powers of functions, but it's always fun to take these sim

From playlist Trigonometry

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Pre-Calculus - can you solve this problem?

How to verify a trigonometric identity - pre-calculus trigonometry problem. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheet

From playlist Pre-Calculus / Trigonometry

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Angles - Smash Study Trigonometry #1

Angles are found everywhere and understanding what they are and how to measure them is incredibly important in all sorts of fields. They also form the foundation of the branch of mathematics called Trigonometry which studies angles and the behavior of the functions found by taking various

From playlist Summer of Math Exposition 2 videos

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Verify a Trigonometric Identity – 50% of students find difficult

TabletClass Math: https://tcmathacademy.com/ Pre-Calculus Course: https://tabletclass-academy.teachable.com/p/tabletclass-math-pre-calculus Math help with verify a trigonometric identity. For more math help to include math lessons, practice problems and math tutorials check out my fu

From playlist Pre-Calculus / Trigonometry

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How do you find the angle? Let’s see…

How to find the angle using right angle trigonometry. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and qu

From playlist GED Prep Videos

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Trigonometry: What Is It?

This video shows how trigonometry is both interesting and useful. Its history, practical uses, place in mathematics and wide use are all covered. If you are wondering why you might want to learn trigonometry, start here!

From playlist Trigonometry

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Understand Trigonometry in 10 min

TabletClass Math http://www.tabletclass.com . This video talks about the basic concepts of trigonometry. The video is designed to focus on the main ideas to understand trigonometry.

From playlist Pre-Calculus / Trigonometry

Related pages

Differential equation | Euclidean geometry | De Gua's theorem | Schläfli orthoscheme | Angle | Solid angle | Trigonometry | Convergent series | Trigonometric functions of matrices | Hypercomplex number | List of geometry topics | Algebra over a field | Hyperbolic geometry | Pythagorean theorem | Banach algebra | Tetrahedron | Taxicab geometry | Hyperbolic triangle | P-adic analysis | Unit circle | Polygon | Real number | Sphere | Euclidean space | Gyrovector space | Lemniscate elliptic functions | Hyperbola | Series (mathematics) | Trigonometric functions | Pieter Hendrik Schoute | Polar sine | Spherical trigonometry | Trigonometry of a tetrahedron | Hyperbolic functions | Triangle | Space (mathematics)