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ADVANCED MATH/TRIG CHASTITY REYNOLDS. WHAT IS TRIGONOMETRY?  Trigonometry is “the branch of mathematics that deals with the relations between the sides.

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Presentation on theme: "ADVANCED MATH/TRIG CHASTITY REYNOLDS. WHAT IS TRIGONOMETRY?  Trigonometry is “the branch of mathematics that deals with the relations between the sides."— Presentation transcript:

1 ADVANCED MATH/TRIG CHASTITY REYNOLDS

2 WHAT IS TRIGONOMETRY?  Trigonometry is “the branch of mathematics that deals with the relations between the sides and angles of plane or spherical triangles, and the calculations based on them.” (“Trigonometry”)

3 WHEN/WHERE DID TRIG ORIGINATE?  Connected with math and astronomy  “first work on trigonometric functions related to chords of a circle.” (“The Trigonometric Functions”)  Originated from a man named Hipparchus  Greek mathematician  “The first known table of chords were produced… in about 140 BC.” (“The Trigonometric Functions”)  Many others followed Hipparchus’s method

4 MATHEMATICIANS WHO DISCOVERED TRIG.  Hipparchus:  Greek mathematician  Menelaus: 100 AD  Rome  “Producing six books of tables of chords which have been lost but his work on spherics has survived and is the earliest known work on spherical trigonometry.” (“The Trigonometric Functions“)  Regula sex quantitatum  Ptolemy  Influenced by Hipparchus  “Calculated chords by first inscribing regular polygons of 3,4,5,6, and 10 sides in a circle.” (“The Trigonometric Functions“)  Used to calculate degrees to find chords

5 MATHEMATICIANS WHO DISCOVERED TRIG.  Hindus:  In about 500, Aryabhata created sine tables  Brahmagupta in 628, created sine tables also  Bhaskara in 1150, showed methods to construct a table of sines for any angle.  Arabs  “by 980 Abu’l-Wafa knew..” that sin2x=2 x cos x. (“The Trigonometric Functions“)  Copernicus, Rheticus, and Regiomontanus also contributed by writing books that were about tables of sines and cosines and “contained work on planar and spherical trigonometry…” (“The Trigonometric Functions“)

6 REAL-WORLD APPLICATIONS/SCENARIOS THAT INVOLVE TRIG. ÷ Measuring the floor of a room that is shaped in a circle, to know the measures so that you are able to put down missing carpet. ÷ “Computers utilize trigonometry to establish the shades and colors of images on a screen.” (“Modern Uses of Trigonometry”) ÷ “MRI machines scan your body and display the color image on a computer screen.” (“Modern Uses of Trigonometry”) ÷ “Medical professionals use the results to determine the cause and location of cancers and tumors” (“Modern Uses of Trigonometry”)

7 TRIGONOMETRIC FUNCTIONS "Trigonometry Functions - Introduction." Introduction to the 6 Trigonometry Functions. N.p., n.d. Web. 04 Sept. 2012..http://www.mathopenref.com/trigfunctions.html

8 INTERESTING WEBSITE ABOUT TRIG. ☺"Educational Videos, Lessons and Games for K-12 School Kids." Trigonometry. N.p., n.d. Web. 03 Sept. 2012..http://www.neok12.com/Trigonometry.htm

9 JOBS THAT USE TRIGONOMETRY  Aquatics Bathtub  Lee Brooks Jr.  (434) 572 – 1200  1100 Industrial Park Rd, South Boston, VA 24592  Have to measure tub sizes and area to install tubs or other aquatic items.

10 WHAT IS THE UNIT CIRCLE? The unit circle is a “circle with a radius of one unit in length” "Trigonometry Primer I.“ Origin center Right middle edge Counterclockwise Triangle within a circle http://www.processing.org/learning/trig/

11 WORKS CITED "Trigonometry." Dictionary.com. Dictionary.com, n.d. Web. 31 Aug. 2012..http://dictionary.reference.com/browse/trigonometry "The Trigonometric Functions." Trigonometric Functions. N.p., n.d. Web. 31 Aug. 2012..http://www-history.mcs.st- and.ac.uk/history/HistTopics/Trigonometric_functions.html Greenberg, Ira. "Trigonometry Primer I." Trig Processing.org. N.p., n.d. Web. 03 Sept. 2012..http://www.processing.org/learning/trig/ "Educational Videos, Lessons and Games for K-12 School Kids." Trigonometry. N.p., n.d. Web. 03 Sept. 2012..http://www.neok12.com/Trigonometry.htm Massey University. "Trigonometry." Trigonometric Ratios, Maths First, Institute of Fundamental Sciences, Massey University. N.p., n.d. Web. 03 Sept. 2012..http://mathsfirst.massey.ac.nz/Trig/TrigRatio.htm Turner, Josh. "Modern Uses of Trigonometry." EHow. Demand Media, 05 Apr. 2011. Web. 04 Sept. 2012..http://www.ehow.com/info_8166929_modern-uses- trigonometry.html "Trigonometry Functions - Introduction." Introduction to the 6 Trigonometry Functions. N.p., n.d. Web. 04 Sept. 2012..http://www.mathopenref.com/trigfunctions.html


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