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Distance from a point to a line using trigonometry
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An interactive applet and associated web page that demonstrate how to find the perpendicular distance between a point and a line using trigonometry, given the coordinates of the point and the slope/intercept of the line. The applet has a line with sliders that adjust its slope and intercept, and a draggable point. As the line is altered or the point dragged, the distance is recalculated. The grid and coordinates can be turned on and off. The distance calculation can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the concept of the concepts, a worked example and has links to other pages relating to coordinate geometry. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Subject:
Geometry
Mathematics
Trigonometry
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
02/16/2011
Trigonometry Lecture Videos (Open Campus Math 112)
Only Sharing Permitted
CC BY-NC-ND
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These Trigonometry lecture videos coterminal angles, trig functions, quadrantal angles, special acute angles, co-functions, finding theta, reference angles, trig functions, radian measure, arc length, area of a sector, graphing sine and cosine using t-table, amplitude and frequency, phase shift for sine and consine, vertical shift, tangent curve, cotangent transformations, evaluating trig identities, trig expressions, sum and difference for cosine, double and half angle identities, inverse, principal values, solving difficult trig equations, law of cosines, area of a triangle, and vectors and bearing.

Subject:
Mathematics
Trigonometry
Material Type:
Lecture
Provider:
Bossier Parish Community College
Author:
Stacey Black
Date Added:
10/11/2017
Geometry Module 2: Similarity, Proof, and Trigonometry
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CC BY-NC-SA
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Just as rigid motions are used to define congruence in Module 1, so dilations are added to define similarity in Module 2.  To be able to discuss similarity, students must first have a clear understanding of how dilations behave.  This is done in two parts, by studying how dilations yield scale drawings and reasoning why the properties of dilations must be true. Once dilations are clearly established, similarity transformations are defined and length and angle relationships are examined, yielding triangle similarity criteria.  An in-depth look at similarity within right triangles follows, and finally the module ends with a study of right triangle trigonometry.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Geometry
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
07/03/2014
Review Worksheets: Linear and Quadratice Equations, Unit Conversion, Significant Figures, and Trigonometry- Barbara Gilbert, CNM
Unrestricted Use
CC BY
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These worksheets, provided by Barbara Gilbert, review mathematics concepts that are necessary in physics, including linear equations, quadratic equations, unit conversion, significant figures, and trigonometry.

Subject:
Applied Science
Mathematics
Material Type:
Homework/Assignment
Date Added:
09/12/2016
OpenStax Algebra & Trigonometry Recorded Lectures and Notes for College Algebra
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CC BY-NC-SA
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This resource is a collection of full hour-long lectures and accompanying notes covering most of chapters 3-6 of the OpenStax Algebra and Trigonometry book. The notes are provided in both .DOCX and .PDF format to accommodate downloading ease. Students should be encouraged to print notes and fill them out as they watch through the lectures.

Subject:
Mathematics
Material Type:
Full Course
Lecture
Lecture Notes
Date Added:
10/27/2016
Dewey Math
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site has two PreCalculus Trigonometry textbooks and a PreCalculus Essentials textbook

Subject:
Algebra
Mathematics
Trigonometry
Material Type:
Textbook
Author:
Dewey Dellinger
Date Added:
08/29/2022
Precalculus and Advanced Topics Module 4
Conditional Remix & Share Permitted
CC BY-NC-SA
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This module revisits trigonometry that was introduced in Geometry and Algebra II, uniting and further expanding the ideas of right triangle trigonometry and the unit circle.  New tools are introduced for solving geometric and modeling problems through the power of trigonometry.  Students explore sine, cosine, and tangent functions and their periodicity, derive formulas for triangles that are not right, and study the graphs of trigonometric functions and their inverses.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
03/24/2016
Math 1A/1B: Pre-Calculus
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CC BY-SA
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This Pre-Calculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.

Subject:
Mathematics
Material Type:
Full Course
Provider:
U.C. Irvine
Provider Set:
UCI Open
Author:
Rachel Lehman
Sarah Eichorn
Date Added:
03/14/2018
You've Got Triangles!
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Educational Use
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Students learn about trigonometry, geometry and measurements while participating in a hands-on interaction with LEGO® MINDSTORMS® NXT technology. First they review fundamental geometrical and trigonometric concepts. Then, they estimate the height of various objects by using simple trigonometry. Students measure the height of the objects using the LEGO robot kit, giving them an opportunity to see how sensors and technology can be used to measure things on a larger scale. Students discover that they can use this method to estimate the height of buildings, trees or other tall objects. Finally, students synthesize their knowledge by applying it to solve similar problems. By activity end, students have a better grasp of trigonometry and its everyday applications.

Subject:
Applied Science
Education
Engineering
Geometry
Mathematics
Technology
Trigonometry
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Raymond Le Grand
Date Added:
09/18/2014
Breaking down forces for free body diagrams
Conditional Remix & Share Permitted
CC BY-NC-SA
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Sal explains how to draw free body diagrams when forces are applied at an angle. How to find horizontal and vertical components of an angled force using trigonometry.

Subject:
Physical Science
Physics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Sal Khan
Date Added:
07/02/2021
Navigating by the Numbers
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Educational Use
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In this lesson, students will learn that math is important in navigation and engineering. Ancient land and sea navigators started with the most basic of navigation equations (Speed x Time = Distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts basic geometry and trigonometry that have been used for thousands of years. In this lesson, these basic concepts are discussed and illustrated in the associated activities.

Subject:
Applied Science
Engineering
Geometry
Geoscience
Mathematics
Physical Science
Trigonometry
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Penny Axelrad
Date Added:
09/18/2014
Magnetic Math
Unrestricted Use
Public Domain
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This is a booklet containing 37 space science mathematical problems, several of which use authentic science data. The problems involve math skills such as unit conversions, geometry, trigonometry, algebra, graph analysis, vectors, scientific notation, and many others. Learners will use mathematics to explore science topics related to Earth's magnetic field, space weather, the Sun, and other related concepts. This booklet can be found on the Space Math@NASA website.

Subject:
Astronomy
Mathematics
Physical Science
Material Type:
Lesson Plan
Provider:
NASA
Provider Set:
Space Math
Date Added:
11/05/2014
Precálculo y temas avanzados Módulo 4
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CC BY-NC-SA
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(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

Este módulo revisa la trigonometría que se introdujo en la geometría y el álgebra II, uniendo y ampliando aún más las ideas de la trigonometría del triángulo recto y el círculo unitario. Se introducen nuevas herramientas para resolver problemas geométricos y de modelado a través del poder de la trigonometría. Los estudiantes exploran funciones sinuso, coseno y tangentes y su periodicidad, derivan fórmulas para triángulos que no son correctos y estudian los gráficos de las funciones trigonométricas y sus inversos.

English Description:
This module revisits trigonometry that was introduced in Geometry and Algebra II, uniting and further expanding the ideas of right triangle trigonometry and the unit circle.  New tools are introduced for solving geometric and modeling problems through the power of trigonometry.  Students explore sine, cosine, and tangent functions and their periodicity, derive formulas for triangles that are not right, and study the graphs of trigonometric functions and their inverses.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
03/24/2016
Euler's Formula
Unrestricted Use
CC BY
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Derivation of Euler's formula from a Taylor series expansion of the expontential function for a complex argument.Derivation of the multiple angle trig identities for sine and cosine using the Binaomial theorem and Euler's formula.

Subject:
Mathematics
Trigonometry
Material Type:
Homework/Assignment
Author:
Wissam Antypas Barakat
Date Added:
06/30/2020
Elementary Calculus
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Educational Use
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This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
Michael Corral
Date Added:
01/09/2021