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Trig Functions

This version was saved 16 years, 5 months ago View current version     Page history
Saved by PBworks
on October 21, 2007 at 10:26:15 pm
 

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:

 

Formula

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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