Trigonometric Function
Definition:
The trigonometric functions are transendental functions based on the ratios of the the sides of a right triangle. They include sine, cosine, tangent, secant, cosect and cotangent. The graphs of trigonometric functions are periodic in nature due to their relationship to the unit circle.
Transformational Form of a Trig Function:
VS = Vertical Stretch, "the amplitude"
VT = Vertical Translation, "sinusoidal axis"
HS = Horizontal Stretch, HS = old period/new period
HT = Horizontal Translation, "start on x"
Trigonometric Function Photos:
Mr. Lee's Example Photo
Photo Description: These cups from Mr. Lee's kitchen look like a tangent function!
Originators: Daniel & Alex
Photo Description: Banner in Mr. Lee's classroom that has two right angle triangles.
Originator: Hanna L
Photo Description: The bread in the pan my mother baked looks like a sine function
Originator: Maryam
Photo Description:
Origionators: Alec and Jonathan
Photo Description: These grass hills on the top of Citidel Hill look like a cosine function
Originators: Adam and Alison
Photo Description: A mirror in the Discovery Center resembles a sine function (y=sinx). The vertical line is the y axis and the horizontal line is the x axis.
Originators: Bill and Rebecca
Photo Description: archway looks like a parabola
Originators: Lynne and Matthew
Photo Description: Lines 11-12 of Claire De Lune by Debussy form a cosine function AND a tangent function.
Originators: Gabrielle and Ellen
Photo description: These sail boats in Cuba (the picture was taken last year on march break) demonstrate right angle triangles.
The length of side "c" can be calulated using the pythagorean theorm (shown on the picture). Trigonometry can also be used to calculate the angles and other side lengths of these triangles if at least one angle and one side are known.
Originator: Erika
The plants at Crystal Crescent Beach branch off from each other in such a way as to amke an isoceles triangle. This means that two of the three sides are equal, and split in half, this triangle becomes two smaller right angle triangles.
Originators: NicoleB, Faith
Discription: These CD's put together make a sine function, or if you look at it the other way it would be -sin(x).
Originators: Paul G. and Kristen H.
Photo Description: These are a number of baskets at the front of the Spryfield Superstore. They look much like a
sine function, represented by the function y=sin(x).
Originators: Kev B. and Erica
Photo Description: kev.b and ericas fine technology looks like a reflected sine graph
Originator: Victor
Photo Description:
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