Transcript Advanced Math/Trig Activity

ADVANCED MATH/TRIG
PROJECT
By: Jessica Craighead
WHAT IS TRIGONOMETRY?
Trigonometry is the branch of mathematics dealing with
the relatives of the sides and angles of triangles and with
the relevant functions of any angles.
WHEN/WHERE DID
TRIGONOMETRY ORIGINATE?
The origins of Trigonometry can be traced back to
Ancient Greece in third century B.C. through the studies
of Hipparchus of Bithynia.
WHO’S RESPONSIBLE??
• Hipparchus from 150 BC Greece compiled a
trigonometric table using the sine for solving
triangles.
• Ptolemy developed more trigonometric
calculations circa 100 AD.
• Pythagoras of Samos an Ionian Greek
mathematician.
• Nasir al-Din al-Tusi developed the subject of
spherical trigonometry.
REAL WORLD APPLICATIONS
THAT INVOLVE TRIGONOMETRY
1. An artisan who has been asked to make a threedimensional, five pointed star. He needs a formula that
will help him to do so.
2. A surveyor has been asked to survey a large piece of
land. He needs a formula that will help him to figure
out the distance across the land.
MORE REAL WORLD
APPLICATIONS!!
3. A sailor decides to go on a long distance trip that will
carry him towards the mountains. He realizes that in
order to complete his mission he needs to use a
trigonometry equation to calculate how far away he is
from the mountain.
4. An oceanographer is trying to calculate the height of
the tides in the Atlantic Ocean. He would use
trigonometry to form an equation that would help him
do so.
JOBS THAT USE TRIGONOMETRY
One career that uses trigonometry is nursing. Nurses can use
trigonometry to take measurements of peoples waists for
example, by using formulas to calculate the hypotenuse, the
opposite, or the adjacent angle.
TRIGONOMETRIC FUNCTIONS
AND THEIR RATIOS
The three most commonly used trigonometric functions are:
Sine
Cosine
Tangent
The ratio of Sine is the length of the opposite side to the
length of the hypotenuse.
The ratio of Cosine is the length of the adjacent side to the
length of the hypotenuse.
The ratio of Tangent is the length of the opposite side to the
length of the adjacent side.
MORE TRIGONOMETRIC
FUNCTIONS AND THEIR RATIOS
The other Trigonometric functions are:
Cosecant
Secant
Cotangent
The ratio of Cosecant is the length of the hypotenuse to the length
of the opposite side.
The ratio of Secant is the length of the hypotenuse to the length of
the adjacent side.
The ratio of Cotangent is the length of the adjacent side to the
length of the opposite side.
…ARE THESE FUNCTIONS
RELATED??
All six of these trigonometric functions are related
because they are all opposites of each other.
I remember seeing a few of these functions in
Geometry.
WHAT IS THE UNIT CIRCLE?
The unit circle is a circle with a radius of one.
The unit circle is used in trigonometry because it helps a
person to remember the special angles and their
trigonometric functions.
Yes because they illustrate the periodicity of the
trigonometric functions.
MY INTERESTING
TRIGONOMETRY WEBSITE!!
The website that I chose is www.mathisfun.com
The reason I chose this website is because it explains
trigonometry in an easy way and it is interactive.
MY FUTURE TRIGONOMETRY
PROJECT
The project that I chose for a later date is a scavenger hunt
that the entire class can participate in.
The scavenger hunt involves students finding triangles, then
describing the triangles according to their trigonometric
traits.
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