Articles containing proofs | Theorems about triangles | Trigonometry

Law of tangents

In trigonometry, the law of tangents is a statement about the relationship between the tangents of two angles of a triangle and the lengths of the opposing sides. In Figure 1, a, b, and c are the lengths of the three sides of the triangle, and α, β, and γ are the angles opposite those three respective sides. The law of tangents states that The law of tangents, although not as commonly known as the law of sines or the law of cosines, is equivalent to the law of sines, and can be used in any case where two sides and the included angle, or two angles and a side, are known. (Wikipedia).

Law of tangents
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Equations of Tangents & Normals

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From playlist Applications of Differentiation

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Trigonometry IX: the Law of Tangents (and a lovely little tangent identity!)

I prove the Law of Tangents using the previously demonstrated Law of Sines, and follow that up with a neat treat also involving tangents! If you have any questions, feel free to leave a comment or email me at the incorrectly spelled whatthehectagon@gmail.com Don't forget to like, subscri

From playlist Trigonometry

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The Equation of a Tangent Plane to a Surface (Relating to Tangent Line)

This video introduced how to determine the equation of a tangent plane to a surface. http://mathispower4u.com

From playlist Normal Vectors and Tangent Planes to Functions of Two Variables

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Definition of Tangent Line

Calculus: To motivate derivatives, we compare approximations using a best fitting point versus a best fitting line. The tangent line is defined.

From playlist Calculus Pt 1: Limits and Derivatives

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How to determine the value of x using the definition of a tangent line to a circle

Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its tangency. Thus, to solve for any missing value involving the

From playlist Circles

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Learn how to write the equation of the tangent line to a quadratic

👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line of a curve at a given point, we start with the point-

From playlist Write the Equation of the Tangent Line

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Tangent Tangent Angle Theorems - Circles & Arc Measures - Geometry

This geometry video tutorial provides a basic introduction into tangent tangent angle theorems as it relates to circles and arc measures. The sum of the minor arc and the tangent tangent angle is supplementary. The two angles add up to 180. This tutorial contains plenty of examples and

From playlist Geometry Video Playlist

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Learn how to write the equation of a tangent line through a point of a function

👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line of a curve at a given point, we start with the point-

From playlist Write the Equation of the Tangent Line

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Trigonometry X: the Law of Cotangents (and another lovely relation involving cotangents!)

Boy, oh boy this is a longish one. I prove the Law of Cotangents using the incenter of the triangle, after motivating the path with another way one might seek to prove the Law of Sines using the circumcenter of the triangle. After that, I demonstrate an equally lovely relationship betwee

From playlist Trigonometry

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Right Triangle Trigonometry (Complete Geometry Course Lesson 9)

This is the ninth lesson in Mario's Math Tutoring's Complete Geometry Course here on YouTube! In this lesson we go through right triangle trigonometry SOH CAH TOA, how to solve for a missing side in a right triangle as well as a missing angles and much more! Join this channel to help sup

From playlist Geometry Course (Complete Course - Mario's Math Tutoring)

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How To Calculate The Missing Side Length of a Triangle

This trigonometry video tutorial explains how to calculate the missing side length of a triangle. Examples include the use of the pythagorean theorem, trigonometry ratios such as sine, cosine, & tangent in SOH CAH TOA, the law of sines, the law of cosines, and using the geometric mean to

From playlist New Precalculus Video Playlist

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Write the equation of the tangent line with exponential

👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line of a curve at a given point, we start with the point-

From playlist Write the Equation of the Tangent Line

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Lec 6: Velocity, acceleration; Kepler's second law | MIT 18.02 Multivariable Calculus, Fall 2007

Lecture 06: Velocity, acceleration; Kepler's second law. View the complete course at: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.02 Multivariable Calculus, Fall 2007

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Dynamics: Oxford Mathematics 1st Year Student Lecture

After filming a student lecture late last year (see below), for the first time ever, Oxford Mathematics has live streamed a student lecture, in this case a first year lecture on 'Dynamics.' The lecture builds on maths studied at high school, but applies a further level of thought and rigou

From playlist Oxford Mathematics 1st Year Student Lectures

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The Tangent (T) Scale

This is a video about the Tangent (T) Scale on the slide rule. If you haven't watched my video from the basic slide rule series that covers the T (& S/L) scale, then you may want to watch that first. You may also want to review my video on the S Scale beforehand. Slide Rule Playlist (star

From playlist All Slide Rule Videos

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Differentiating the Logarithmic Function (5 of 5: Equation of a tangent)

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From playlist Differential Calculus

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Elliptic Curves - Lecture 9a - The (geometric) group law, continued

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

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Jeffrey Galkowski: Quantum Sabine law for resonances in transmission problems

Abstract: We prove a quantum Sabine law for the location of resonances in transmission problems. In this talk, our main applications are to scattering by strictly convex, smooth, transparent obstacles and highly frequency dependent delta potentials. In each case, we give a sharp characteri

From playlist Partial Differential Equations

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Learn how to write the equation of the tangent line using trigonometry

👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line of a curve at a given point, we start with the point-

From playlist Write the Equation of the Tangent Line

Related pages

Great circle | List of trigonometric identities | Nasir al-Din al-Tusi | Numerical analysis | Law of sines | Ibn Mu'adh al-Jayyani | Law of cotangents | Mollweide's formula | Law of cosines | Tangent half-angle formula | Triangle | Half-side formula | Trigonometry | Catastrophic cancellation