Mathematical identities | Conic sections | Trigonometry

Tangent half-angle formula

In trigonometry, tangent half-angle formulas relate the tangent of half of an angle to trigonometric functions of the entire angle. The tangent of half an angle is the stereographic projection of the circle onto a line. Among these formulas are the following: From these one can derive identities expressing the sine, cosine, and tangent as functions of tangents of half-angles: (Wikipedia).

Tangent half-angle formula
Video thumbnail

How to determine the half angle of tangent when given a triangle

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

How to evaluate the half angle for the tangent function

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

Using the half angle formula for tangent to evaluate from a triangle

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

Evaluate the half angle of tangent from a triangle

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

How to use the half angle formula for tangent to evaluate for an angle

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

Half angle of sine given right triangle and constraint

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

Using the half angle formula for sine

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

Evaluate the half angle of tangent using a triangle

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

Given cosine, evaluate the half angle for sine

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

Proving the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 27)

The proofs of Double Angle Formulas and Half Angle Formulas for Sine, Cosine, and Tangent. These proofs help understand where these formulas come from, and will also help in developing future identities. Support: https://www.patreon.com/ProfessorLeonard

From playlist Precalculus - College Algebra/Trigonometry

Video thumbnail

How to Use the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 28)

LOTS of examples of using the Double Angle and Half Angle formulas in Trigonometry. Support: https://www.patreon.com/ProfessorLeonard

From playlist Precalculus - College Algebra/Trigonometry

Video thumbnail

Circle Theorems

This geometry video tutorial provides a basic introduction into circle theorems. It contains plenty of examples and practice problems. Here is a list of topics: 1. If a radius is perpendicular to a chord, it bisects the chord into two congruent segments. The point of contact is the mid

From playlist Geometry Video Playlist

Video thumbnail

Using Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 26)

How to use the Sum and Difference Formulas to find angles in Trigonometry including Inverse Trig functions, Unit Circle applications, and proofs of phase shift identities for Sine and Cosine. Support: https://www.patreon.com/ProfessorLeonard

From playlist Precalculus - College Algebra/Trigonometry

Video thumbnail

Double and Half Angle Formulas | Analytic Trig | Pre-Calculus

In this video we will explore how to use the double angle to evaluate trigonometric expressions from triangles as well as angles in degrees and radians. We will then use double angle formulas to help verify trigonometric identities and solve trigonometric equations. I make short, to-the-

From playlist Pc - In the classroom

Video thumbnail

Zakhar Kabluchko: Random Polytopes, Lecture III

In these three lectures we will provide an introduction to the subject of beta polytopes. These are random polytopes defined as convex hulls of i.i.d. samples from the beta density proportional to (1 βˆ’ βˆ₯xβˆ₯2)Ξ² on the d-dimensional unit ball. Similarly, beta’ polytopes are defined as convex

From playlist Workshop: High dimensional spatial random systems

Video thumbnail

Introduction to Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 25)

What the Sum and Difference formulas are for the three basic trig functions, where they come from, and how to use them to find exact solutions to angles that are not on the Unit Circle. Support: https://www.patreon.com/ProfessorLeonard

From playlist Precalculus - College Algebra/Trigonometry

Video thumbnail

Learn to evaluate the half angle for cosine

πŸ‘‰ Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function of an angle is given, we can evaluate the tangent of

From playlist Half Angle Formulas

Video thumbnail

Cram For Your Trigonometry Test

My favorite type of instruction inside of the classroom would be would freestyle my instruction covering everything the students need to know in the quickest amount of time. That is what I try to do in this lesson. I hope you enjoy. βœ…. New Identities Videos - https://youtube.com/playlist

From playlist Analytic Trigonometry in Pre-Calculus

Related pages

Cosine | Field extension | Hyperbola | Calculus | Inverse hyperbolic functions | List of trigonometric identities | Rational function | Unit circle | Natural logarithm | Rational number | Antiderivative | Stereographic projection | Trigonometry | Half-side formula | Gudermannian function | Quadratic equation