WHAT IS TRIGONOMETRY?
Trigonometry is a branch of
mathematics that deals with the
relations of the sides of angles of
triangles and with the relevant
functions of any angles.
WHERE/WHEN DID TRIGONOMETRY
ORIGINATE?
Trigonometry originated from the ancient
Egyptian and Babylonian times as a way
to work with triangles. The Greek
mathematician Menelaus; in about 100
AD.; Had the earliest known work on
spherical trigonometry.
Trigonometry did not necessarily start off
with triangles.
WHO WHERE SOME OF THE MAIN PEOPLE
INVOLVED WITH TRIGONOMETRY?
Menelaus was considered the first with spherical trig. Ptolemy was another author of
a book of chords. Aryabhata; in 500; gave tables of halg chords which are sine
tables. Brahmagupta (in 682) he reproduced Aryabhata’s work. A detailed
method for constructing a table of sines for any angle were given by Bhaskara.
Menelaus's Theorem
Ptolemy’s Theorem
WHAT ARE THE THREE MOST
USED TRIGONOMETRY
FUNCTIONS AND THERE RATIOS?
Sine = Opposite/Hypotenuse
Cosine = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent
WHAT ARE THE OTHER
THREE FUNCTIONS AND
THEIR RATIOS?
Cotangent = Adjacent/Opposite
Secant = Hypotenuse/Adjacent
Cosecant = Hypotenuse/Opposite
APPLICATIONS/SCENARIOS
•
Planes need to use trigonometry when they fly over mountains because they need
to know how tall and how big the mountains are.
•
Architecture has a lot to do with trigonometry. For instance, when the French
we’re designing the Eiffel Tower, they needed to know the angle of the 4 sides to
know how it will even out.
•
Astronauts use trigonometry to calculate the distance between the moon and the
earth to know how much fuel to put into the spaceship. The necessary amount
could be crucial to the way that it was life or death.
•
Cosine function is used to program electromagnetic waves. So it is used every
time you use the radio.
ONLINE TRIG APPLICATIONS
This is a great website for learning the
fundamentals of trigonometry. It has multiple
videos and great learning tips.
http://www.neok12.com/Trigonometry.htm
WHAT DOES A TRIG JOB LOOK LIKE?
Isaac Dail did an internship this summer at a mineral excavating in Texas. His job
required him to use all sorts of math including trig to mine out the important
minerals in the ground. He used trig on a daily basis. ‘Other math also come in
handy, such as calculus and regular geometry” says Issac about the job in Texas.
UNIT CIRCLE? HOW? WHY? CIRLES-TRIANGLES?
A unit circle is a circle with a radius of 1.
The circle can play a big role in trigonometry as
there can be triangles that have different
areas made out of the circle itself.
Circles have 360 degrees, triangles have 180
degrees.
SITE SOURCE
http://www.mathsisfun.com/geometry/unit-circle.html
http://www.teacherschoice.com
http://www-history.mcs.st-and.ac.uk/history/HistTopics/Trigonometric_functions.html