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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
Once you REALLY understand the basic definitions and relationships in Trig (Trigonometry) it is not hard. BUT, the most critical time when taking Trig, in my opinion, is right at the beginning, when the teacher is setting up the "ground rules" for the way things are hung together. If you really dig in at the beginning, you can beat it.
Some students initially have problems trying to visualize the problems, but when you learn to break things down in smaller, simpler chunks you've got it beat.
Good Luck & Pay Attention & ASK QUESTIONS!
What is the value of pi to 12 decimal places?
3.141593 is best I can remember.
3.14159265 is a little better. (Chuck Baggett)
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Trigonometric table for decimal value of theta?
Oh honey, just use a calculator. Trigonometric tables are so last century. Type in your decimal value of theta, hit the sin, cos, or tan button, and voila! Math magic at your fingertips. No need to flip through dusty old tables like a math detective.
Does a trigonometry tangent relate to a circle's tangent?
A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.
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By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.
AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word).Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
How does one differentiate between the sine rule and the sine ratio?
The sine rule(also known as the "law of sines") is:
a/sin A = b/sin B = c/sin C
where the uppercase letters represent angles of a triangle and the lowercase letters represent the sides opposite the angles (side "a" is opposite angle "A", and so on.)
Sine Ratio(for angles of right triangles):
Sine of an angle = side opposite the angle/hypotenuse
written as
sin=opp/hyp.
To draw a perfect circle you will need a drawing compass. To draw a circle you will need a pencil and paper. Starting at the top centre of the paper, place the point of the pencil. Curving around to either the right or the left which ever preferred Guide the pencil all the way around to the starting position making sure that it is symmetrical all the way round. There you have your circle. You may want to use a drawing compass to assist you in drawing a perfect circle. If you do not have a drawing compass you can improvise with a thumb tack and some string. Tie one end of the string to the tack and pin it where you want the centre of your circle to be. Tie the other end to your pencil. Keep the string stretched and move the pencil around the pin to draw a circle. You can change the size of the circle by changing the length of the string.
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
