This link has been bookmarked by 123 people . It was first bookmarked on 20 Nov 2007, by vector.
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EMU - gymnasiale udd. Danmarks undervisningsportalFag: Matematik
Titel: Dave's Short Trig Course
Meget gennemarbejdet website, som gennemgår indføringen og brug af de trigonometriske funktioner (sin, cos, tan).
Der er overalt små interaktive figurer, som brugeren kan arbejde med og afprøve teorien på.
Udgiver: Clark University, Worcester, USA
Emneord: sin cos tan
Type(r): Interaktive ressourcer, Undervisningsforløb og -oplægUngdomsuddannelser Gymnasiale ungdomsuddannelser Trigonometri Matematik Undervisere fig_gym_Matematik emu.dk
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11 Oct 11
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Dave's Short Trig Course
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Table of Contents
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- Who should take this course?
- Trigonometry for you
- Your background
- How to learn trigonometry
- Applications of trigonometry
- Astronomy and geography
- Engineering and physics
- Mathematics and its applications
- What is trigonometry?
- Trigonometry as computational geometry
- Angle measurement and tables
- Background on geometry
- The Pythagorean theorem
- An explanation of the Pythagorean theorem
- Similar triangles
- Angle measurement
- The concept of angle
- Radians and arc length
- Exercises, hints, and answers
- About digits of accuracy
- Chords
- What is a chord?
- Trigonometry began with chords
- Sines
- The relation between sines and chords
- The word "sine"
- Sines and right triangles
- The standard notation for a right triangle
- Exercises, hints, and answers
- Cosines
- Definition of cosine
- Right triangles and cosines
- The Pythagorean identity for sines and cosines
- Sines and cosines for special common angles
- Exercises, hints, and answers
- Tangents and slope
- The definition of the tangent
- Tangent in terms of sine and cosine
- Tangents and right triangles
- Slopes of lines
- Angles of elevation and depression
- Common angles again
- Exercises, hints, and answers
- The trigonometry of right triangles
- Solving right triangles
- Inverse trig functions: arcsine, arccosine, and arctangent
- The other three trigonometric functions: cotangent, secant, and cosecant
- Exercises, hints, and answers
- Pythagorean triples
- The trigonometric functions and their inverses
- Arbitrary angles and the unit circle
- Sines and cosines of arbitrary angles
- Properties of sines and cosines that follow from the definition
- Graphs of sine and cosine functions
- Graphs of tangent and cotangent functions
- Graphs of secant and cosecant functions
- Computing trigonometric functions
- Before computers: tables
- After computers: power series
- The trigonometry of oblique triangles
- Solving oblique triangles
- The law of cosines
- The law of sines
- Exercises, hints, and answers
- Demonstrations of the laws of sines and cosines
- For the law of sines
- For the law of cosines
- Area of a triangle
- Area in terms of two sides and the included angle
- Summary of trigonometric identities
- More important identities
- Less important identities
- Truly obscure identities
About the Java applet.
Images in Dave's Short Trig Course are illustrated with a Java applet. If your browser is Java-enabled, you can drag the points around in the diagrams and the diagram will adjust itself. The applet also allows you to lift a diagram off the web page into its own floating window. For details, see About the applet.Note that most web browsers do not allow printers to print images created by Java applets. If you want to print the images, turn off Java in your browser. Then the plain images that appear can be printed.
Special symbols used here. Some old web browsers do not display mathematical symbols. The following table shows the mathematical symbols used here. If there are any entries in the first column that appear blank or appear as question marks, then your web browser will not display those symbols, and you will need to use a different web browser to see all the symbols.
Symbol Description Example – minus sign x – y ± plus or minus sign x ± y ° degree sign 45° √ square root sign √2 3√ cube root sign 3√5 ≠ not equal to x ≠ y ≤ less than or equal to x ≤ y ≥ greater than or equal to x ≥ y Started July, 1996. Copyright © 1996, 1997, 2002.
David E. Joyce
Department of Mathematics and Computer Science
Clark University Worcester, MA 01610
Dave's Short Trig Course is located at http://www.clarku.edu/~djoyce/trig
- Who should take this course?
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04 Oct 11
EMU-test AarhusMeget gennemarbejdet website, som gennemgår indføringen og brug af de trigonometriske funktioner (sin, cos, tan).
Der er overalt små interaktive figurer, som brugeren kan arbejde med og afprøve teorien på. - Udgiver: Clark University, Worcester, USA - Emneord: sin cos tan - Typer: Interaktive ressourcer,Undervisningsforløb og -oplægUngdomsuddannelser Gymnasiale ungdomsuddannelser Trigonometri Matematik Undervisere fig_gym_Matematik emu.dk
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27 Sep 11
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15 Aug 11
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28 Jul 11
Easton YusufzaiDave's short course in trigonometry
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25 Jul 11
Christy FethI've kept this site in my favorites in case I ever have to teach Trigonometry again! A great visual aid to help understand what all those symbols are talking about!
trigonometry maths precalculus math trig tutorial mathematics geometry
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06 Jun 11
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25 Mar 11
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Donald MacleanA short course in trigonometry - revises GCSE type concepts and extends the ideas a bit further. The real joy of this is the interactive diagrams if your browser is java enabled.
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Joan EricksonI find certain features in 1, 2, 5, 7-10, 12. 13-16 useful; not all pieces are appropriate
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26 Mar 10
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- Trigonometry as computational geometry
- Angle measurement and tables
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- The Pythagorean theorem
- An explanation of the Pythagorean theorem
- Similar triangles
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17 Mar 10
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23 Dec 09
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16 Dec 09
Jessie DennisThis is a neat website that has a lot of information on Trig. If you're teaching Geometry, precalc, or advanced algebra, this is a good teaching resource. It covers some non "textbook" topics such as the meaning of the words sine and cosine.
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07 Dec 09
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18 Nov 09
Silas FincherThis site helps with trigonometry
trigonometry angle measurement chords sines cosines tangents
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01 Nov 09
M HolthouseDon’t like my presentation? Or the book’s? Try Dave Joyce’s interactive Java version. Dave is professor at Clark University and has a bunch of other neat math web sites too.
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Alison YorkTrig crash course including applications
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Colette CairnsAngle in unit circle showing trig functions as lengths of line segments
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Dave's Short Trig Course
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