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MA140 Trigonometry Resource Page

Tools:
Web 2D Grapher

Topic

Web Site

 

Trig help websites-these cover most of the topics in this syllabus:
http://members.tripod.com/mathhelpcentral/
pre-calculus_trigonometry.htm


http://www.sosmath.com/trig/trig.html
http://www.purplemath.com

http://www.univie.ac.at/future.media/moe/galerie/trig/trig.html#dreieck (java apps from Austria)

http://www.runet.edu/~wyang/MAPLE/java/java/trigjava.html(Java apps from Japan)

Graphing calculator help link TI Casio Sharp HP:
http://www.prenhall.com/divisions/esm/app/calc_v2/

1.1 Angles-dec. & DMS

Fiber optics and critical angles article:
http://www.exploratorium.edu/snacks/critical_angle.html
The physics of foul shots article:
http://www.discover.com/ Go to recent issues, Oct. 2000

1.2 Similar Triangles

 

1.3 Trig Ratios & Rt. Triangles

Using cosine to find how fast you are moving article:
http://imagine.gsfc.nasa.gov/docs/ask_astro/answers/970401c.html

1.4 Rt. Triangle applications

Trig and rocket flight article:
http://www.grc.nasa.gov/Other_Groups/K-12/airplane/rktacoup.html

2.1 Degrees & Radians

 

2.2 Lin. & Ang. Vel.

Angular velocity and illusion:
http://www.nsf.gov/search97cgi/vtopic

2.3 Trig. Functions

 Sine wave generated at the Exploratorium in San Francisco
http://www.exploratorium.edu/exhibit_services/exhibits
/f/fadingmotion.html

Sine waves and your rotator cuff
http://www.sportsci.com/ADI2001/adi/services/library/projects/functional/adw-60e.asp
Sunspot predictions
http://www-istp.gsfc.nasa.gov/istp/outreach/solarmax/predict.html
Angle of the sun
http://aurora.crest.org/basics/solar/angle/

2.4 Add. applications

 

2.5 Exact value-special angles

The common trig angles (java):
http://id.mind.net/~zona/mmts/trigonometryRealms
/CommonAngles1/CommonAngles1.html

Quiz yourself on values (java): http://www.batesville.k12.in.us/Physics/CalcNet/
Trig_Review/Trig_Review.html

2.6 Circular functions

From Japan-The first 6 applets show how the 3 basic trig functions relate to the circle (java):
http://www.runet.edu/~wyang/MAPLE/java/java/trigjava.html
From Germany-Another view of the relation (java):
http://home.a-city.de/walter.fendt/me/sincostan_e.htm
(drag the point on the circle)

3.1 Basic graphs

 

3.2 Graphing k+Atrig(Bx)

 

3.3 Graphing k+Atrig(Bx+C)

49->http://www.ncdc.noaa.gov /ol/climate/online/ccd/meantemp.html
Grapher for trig functions (java):
http://home.netvigator.com/~wingkei9/javagsp/asinbxcd.html
Using wavelengths of light article
http://www.discover.com/ Go to recent issues, Jan. 2001

3.4 Add. apps.

Frequency and resonance article:
http://www.exploratorium.edu/snacks/coupled_resonant_pendlm.html

3.5 Graphing combined forms

 Listen to trig waves (java):
http://www.gac.edu/~huber/fourier/
Matching waves and music-java app
http://www.math.duke.edu/education/ccp/materials/postcalc/music/music2_6.html
More trig waves in music (java)
http://www.mindspring.com/~scottr/zmusic/
Interference of waves and optics
http://members.tripod.com/~vsg/interfer.htm (java app)

3.6 Cofunctions

 

4.1 Fund. Identities

Quiz yourself on identities (java): http://www.batesville.k12.in.us/Physics/CalcNet
/Trig_Review/Trig_Review.html

4.2 Verifying Trig Id.

 

4.3 Sum, Diff., &Cofunction Id.

 

4.4 Dbl & Half Ang. Id.

 

4.5 Product <-> Sum Id.

 

5.1 Inverse sin cos tan

 

5.2 Inverse csc sec cot

 

5.3 Trig Equations

 

6.1 Law of Sines

 

6.2 Law of Cosines

 

6.3 Area of triangles

 

6.4 Vectors Geometrically

Sea winds vector article:
http://www.sciam.com/exhibit/2000/021400wind/index.html
How does a fly fly? article:
http://www.sciam.com/exhibit/1999/062899fly/flight.html
Vectors and sports article:
http://www.sciam.com/2000/0900sports/0900intro.html

6.5 Vectors Algebraically

Vector toy article:
http://www.exploratorium.edu/snacks/vector_toy/index.html

6.6 Dot Product

 

7.1 Polar Coordinates

Mars lander and polar coord. article:
http://mars.jpl.nasa.gov/MPF/ops/photojournal.html
 (Click on landing site image to see polar graph)

7.2 Sketching Polar graphs

 

7.3 Complex nos.-Polar & rect.

Complex nos. grapher (java):
http://home.netvigator.com/~wingkei9/javagsp/complex.html
Visualizing complex nos. (java)
http://www.accesscom.com/~lillge/pgc/

7.4 DeMoivre's Theorem

 

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