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Trigonometry
Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.
3,810 Questions
What does sin cos and tan mean?
They are sine, cosine and tangent, three trigonometric functions. There is a mnemonic device to help you remember what these functions represent. Imagine a right triangle (a triangle containing a 90 degree or right angle). We are interested in the two angles that are NOT 90 degrees. When you imagine these angles you can see that on one side will be the hypotenuse, the long side opposite the right angle. The other side of the angle is the adjacent leg for that angle. So either of these angles is made up of the hypotenuse and its adjacent leg. The other side is the opposite leg.
Now imagine that a space alien named Soh-cah-toa is teaching you trigonometry.
SOH means that the sine is calculated by "opposite over hypotenuse"; the length of the opposite leg divided by the length of the hypotenuse".
CAH means that the cosine is calculated by "adjacent over hypotenuse"; the length of the adjacent leg divided by the length of the hypotenuse".
TOA means that the tangent is calculated by "opposite over adjacent"; the length of the opposite leg divided by the length of the adjacent leg.
If youd like a simpler method, check out these articles for a simple free tool and tutorial that will make trig simple enough for ANYBODY to understand!
http://www.ehow.com/how_5520340_memorize-trig-functions-losing-mind.html
http://www.ehow.com/how_5227490_pass-mind-part-unknown-sides.html
http://www.ehow.com/how_5428511_pass-part-ii-unknown-angles.html
A triangular based pyramid is a tetrahedron which has 4 faces, 6 edges and 4 vertices
A real-life example of an ellipse is the path that some heavenly bodies travel in space. Earth's path around the sun is elliptical.
Informally, a flattened circle. You can read the Wikipedia article for a more formal definition, as well as to investigate its different properties.
History of trigonometry.
The history of trigonometry dates back to the early ages of Egypt and Babylon. Angles were then measured in degrees. History of trigonometry was then advanced by the Greek astronomer Hipparchus who compiled a trigonometry table that measured the length of the chord subtending the various angles in a circle of a fixed radius r. This was done in increasing degrees of 71.
In the 5th century, Ptolemy took this further by creating the table of chords with increasing 1 degree. This was known as Menelaus's theorem which formed the foundation of trigonometry studies for the next 3 centuries. Around the same period, Indian mathematicians created the trigonometry system based on the sine function instead of the chords. Note that this was not seen to be ratio but rather the opposite of the angle in a right angle of fixed hypotenuse. The history of trigonometry also included Muslim astronomers who compiled both the studies of the Greeks and Indians.
In the 13th century, the Germans fathered modern trigonometry by defining trigonometry functions as ratios rather than lengths of lines. After the discovery of logarithms by the Swedish astronomer, the history of trigonometry took another bold step with Isaac Newton. He founded differential and integral calculus. Euler used complex numbers to explain trigonometry functions and this is seen in the formation of the Euler's formula.
The history of trigonometry came about mainly due to the purposes of time keeping and astronomy.
What is the importance of geometry in real life?
Here are just some answers I was able to search through the web.
- First, the world is built of shape and space, and geometry is its mathematics.
- Second, informal geometry is good preparation. Students have trouble with abstraction if they lack sufficient experience with more concrete materials and activities.
- Third, geometry has more applications than just within the field itself. Often students can solve problems from other fields more easily when they represent the problems geometrically.
- And finally related point - many people think well visually. Geometry can be a doorway to their success in mathematics.
Answer A trapezium is (according to some) another name for a trapezoid. It is a quadrilateral (it has 4 sides) with only one pair of opposite sides parallel (England) or with no parallel sides (US). Use the links below for more information.
The trapezium is a carpel bone that is located in the wrist.
Congruent angles are of the same size as for example 85 degrees is congruent to 85 degrees
Is a polygon with all angles congruent a regular polygon?
No. You also need all of the sides to be congruent. For example, a rectangle has four congruent angles, but it is not a regular polygon.
What is the abscissa of every point on the y-axis?
It's x = 0.
Consider a point of the plane, P=(x, y), in cartesian coordinates. If P is a point belonging to x-axis, then P=(x, y=0); if P is a point belonging to y-axis, then P=(x=0, y).
What is the volume of a triangular prism?
One half base times height (of the triangular section) times length.
What is the explicit formula for the sequence 32-4354-65?
The simplest formula isUn = (-8611*n^2 + 34477*n - 25082)/2 for n = 1, 2, 3.
Is it possible for sin theta cos theta and tan theta to all be negative for the same value of theta?
No, they cannot all be negative and retain the same value for theta, as is shown with the four quadrants and their trigonemtric properties. For example, in the first quadrant (0
How do you rewrite the equation -8x-5y-45?
-8x-5y-45 is not an equation. An equation requires an equal sign in there somewhere. If you meant -8x-5y=45, then there are many ways to rewrite it, such as -(8x+5y)=45, or 8x+5y=-45, or 8x=-(45+5y), to name three. If you meant -8x-5y=-45, then you're probably looking for 8x+5y=45.
Application of geometry in real life?
Geometry is used in many different ways in real life.
For example, if you wanted to measure the volume of a circle so that you could know beforehand if some liquid you wanted to get into it would all fit, you could find out beforehand; geometry is used for measurements of things as small as atoms or cells to the size of the earth (and maybe even further)...eventually, you will find that it was great to learn geometry.
Whats a 15 sided shape called?
A 15 sided shape is called a Pentadecagon, or a Pentakaidecagon.
- thanks a million Chrissy . B -
