TRIGONOMETRIC FUNCTIONS
PYTHAGOREAN THEOREM
Given the length of the side opposite and the side adjacent of a right triangle, the hypotenuse can be calculated by the following formula:
You can actually find any third side of a triangle, if the other two sides are known.
SUM OF INTERIOR ANGLES
If "n" is the number of vertices (corners) of a closed shape, the sum of the interior angles can be found by:
What is the sum of the interior angles for the fourth shape above?
Because it has four vertices, (4-2) * 180 = 360 degrees, like any four-sided shape.
GRADE AND PERCENT GRADE
To calculate the grade, use the following formula:
For this example, the grade equals (25/500) = 0.05
The percent grade equals (25/500) * 100 = 5%
CONVERTING MAP AREA TO FIELD AREA
If you are dealing with an area, in which the unit is square feet, or some such unit, you must square the scale of the map to calculate the proper area.
Field Area = Map Area * (Map Scale)^2
So if the map has a scale of 1 in. = 2000 ft., and you measure a field to have a map area of 7.0 square inches, the total area is:
7.0 * (2000)^2 = 7.0 * 2000 * 2000 = 28,000,000 sq. ft.
You have to multiply both the length of the field and the width of the field by the scale to get the actual distance.
This is equal to 28,000,000 sq. ft. / 43,560 sq. ft per acre = 642.8 acres.
2007-01-14 15:47:32
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answer #1
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answered by Aries Iz Me ♥ 2
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i've used trigonometry nearly everyday for over 30 years. by using trig. functions (sin,cos,tan,sec, cosec,cotan) you can find every angle and side of a triangle that you know very little about.
here's a definition i found on the web.
Trigonometry is the branch of mathematics that deals with triangles, circles, oscillations and waves; it is absolutely crucial to much of geometry and physics. You'll often hear it described as if it was all about triangles, but I think that is missing much of the point. Waves and resonance are at the root of how matter works at the most fundamental level; they are behind how sound and light move, and probably also how minds and beauty work, on some level; so trigonometry turns out to be fundamental to pretty much everything. Any time you want to figure out anything to do with angles, or turning, or swinging, there's trigonometry involved.
2007-01-14 15:50:07
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answer #2
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answered by notmyrealname 3
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A third class of functions that are prevalent in higher mathematics is the trigonometric functions. For a full discussion of trigonometry, see the SparkNote on Trigonometry. In the following lessons, we'll take a brief look at the trigonometric functions. The trigonometric functions have to do with angles in the coordinate plane. They are unique because the input is an angle measure, and the output is a ratio. The six trigonometric functions are sine, cosine, tangent, cosecant, secant, and cotangent. They are periodic functions--their values repeat at regular intervals. The sine and cosine functions are especially useful in modeling repetitive motion, like oscillation. Sine and cosine can also be thought of as the most important of the trigonometric functions because of their relevance to the unit circle and the fact that the other four trigonometric functions can easily be expressed in terms of sine and cosine. In addition to examining the trigonometric functions and their graphs, we'll discuss the inverse trignometric functions and also some trigonometric equations.
2007-01-14 16:07:47
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answer #3
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answered by Anonymous
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Tri - means three.
Trigon- means a shape having three sides
Metric- means measurements
Trigonometry- Measurements of three sided shapes.
Basics for trigonometry are the three sides or the three included angles or triangle.
2007-01-14 16:19:09
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answer #4
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answered by Pearlsawme 7
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1=sin(t)^2+cos(t)^2 that is as basic as it gets.
2007-01-14 16:05:01
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answer #5
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answered by Scott S 4
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sin cos all those ratio funtions
2007-01-14 15:49:08
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answer #6
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answered by Anonymous
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SOHCAHTOA
2007-01-14 15:44:54
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answer #7
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answered by takeapartyourhead 3
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