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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”)

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

MATHEMATICIANS WHO DISCOVERED TRIG. Hipparchus:

Greek mathematician

Menelaus: 100 ADRome“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

PtolemyInfluenced 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

MATHEMATICIANS WHO DISCOVERED TRIG. Hindus:

In about 500, Aryabhata created sine tablesBrahmagupta in 628, created sine tables alsoBhaskara 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“)

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”)

TRIGONOMETRIC FUNCTIONS

Sine : sin x =

Cosine: cos x =

Tangent: tan x =

Secant: sec x:

Cosecant: csc x =

Cotangent: cot x =

They are related because they use the same ratios ,but the three least used are flipped ratios of the most used ratios.

Geometry

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

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>.

JOBS THAT USE TRIGONOMETRY

Aquatics Bathtub Lee Brooks Jr.(434) 572 – 12001100 Industrial Park Rd, South Boston, VA 24592

Have to measure tub sizes and area to install tubs or other aquatic items.

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/

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>.