1. Trigonometry Anna Wilson

2. What is Trigonometry? Trigonometry is the branch of mathematics that deals with the relationships between the sides and the angles of triangles and the calculations based on them, particularly the trigonometric functions.

3. Origins Early trigonometry originated in Egypt as early as 13 th century B.C. Was used to calculate the height of objects using shadows History of Mathematics; Advanced Mathematical Concepts Textbook

4. Who is responsible? There are multiple contributors to the foundation of trigonometry as we know it today. Hipparchus, Menelaus, Ptolemy were three major founders of trigonometry

5. Hipparchus Hipparchus is “credited with the foundation of trigonometry” Believed to have produced a “12 book treatise on the construction of a table of chords” History of Mathematics; Advanced Mathematical Concepts Textbook

6. Menelaus In about 100 A.D. he was “credited with the first work on spherical trigonometry” Also “wrote a treatise on chords in a circle” History of Mathematics; Advanced Mathematical Concepts Textbook

7. Ptolemy Produced another book of chords believed to have been “adapted from Hipparchus’s treatise” History of Mathematics; Advanced Mathematical Concepts Textbook

8. Applications Surveyors use trigonometry to figure out the distance across rivers by using the tangent function

9. Application 2 Trigonometry is often used to determine the height of towers and mountains

10. Application 3 Trigonometry is used in oceanography when calculating the heights of tides in the ocean

11. Application 4 Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles

12. Functions, Functions, and More Functions The three main functions are sine, cosine, and tangent The other three are cosecant, secant, and cotangent The three less used functions are the reciprocals of the ratios of the main functions http://www.regentsprep.org/Regen ts/math/algtrig/ATT1/trigsix.htm

13. Website A good website to visit is http://www.regentsprep.org/Regents/math/algt rig/ATT1/trigsix.htm http://www.regentsprep.org/Regents/math/algt rig/ATT1/trigsix.htm It was very helpful and had informative figures and descriptions

14. Owner of Echo Enterprises Has engineering degree from Virginia Tech Builds and designs blueprints for residential buildings Owner and designer of soon to be 1 st shopping center in Cumberland called Patriot Ridge Uses Trig ratios to help with construction Contact Information: Address: 1875 Anderson Highway, Cumberland VA 23040 Telephone: (804) 492-4852

15. Unit Circle A unit circle is a circle with a radius of one whose center is at the origin of a rectangular unit system It can be used to find functions like sine and cosine in a triangle Because of this, triangles and circle are related Advanced Mathematical Concepts Textbook