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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 is the slope of a vertical line or division by zero?
The slopes of vertical lines and the results of divisions by 0 do not exist because there are multiple answers. A line that is vertical can have a slope of infinity or negative infinity. Same with division by zero. Picture the graph 1/x. As the graph approaches zero from the left, it goes toward negative infinity, then jumps to positive infinity. There are two answers, and neither of them are real numbers. The limits do exist though. The limit of 1/x as x approaches zero from the left is negative infinity. and the limit as it approaches the right is positive infinity.
If a ball was composed of 129600 faces how then would pi apply?
A ball with that many faces would be close to a sphere, so its volume ans surface area, and other properties could be approximated using pi.
What is a pair of angles formed by two lines intersected by a third line?
More info needed. Are the 2 lines parallel, perpendicular, or? are the angles that you are interested in on opposite sides of the intersecting line or the same side.
The intersecting line is called a transversal. If the original lines are parallel, angles between the 2 lines on opposite sides of the transversal are called alternate interior angles, etc.
Importance of studying trigonometry?
Trigonometry is important in a massive number of fields. From computer simulation and video games, warfare and weaponry, building bridges and even space travel.
Trigonometry is used whenever you are carrying out calculations involving angles.
In mathematics it is used as a way of finding unknown lengths or angles in non right angled triangles. (SOHCAHTOA).
In physics it can be used for calculating how forces act on an object at different angles. It can also be used for calculating how a projectile moves through space given it's angle. Calculation of projectiles is used in warfare for long range weapons such as mortars. Projectiles are fired at angles and travel in parabolas to reach far off targets.
In computing trigonometry can be used for calculating movement of objects at angles. Trigonometry can also be used in point-projection onto a plane, a process vital to the rendering of 3D graphics in video games and simulations.
Wavelet theory is built upon trigonometric functions, and is used in popular image and video compression formats as well as astrophysics, density-matrix localisation, seismology, optics, turbulence and quantum mechanics.
In engineering trigonometry can be used for calculating the length and strength of steel wire needed to build suspension bridges. It can also be used in conjunction with laser pointers, for the calculation of height of large objects.
Trigonometry is an exceptionally valuable mathematical tool in so many areas of science, engineering and technology.
Where is the origin of trigonometry?
it originally came from the ancient Egyptian and babylonian times as it is seen in there scriptures as i kind of mathematic way to work with triangles
Example of relation and function?
A function must be well defined. This means that every element in the domain maps to only one element in the range. In more math terms, let a and b be in the domain of f such that a = b. If f is a function, then if a = b, f(a) = f(b).
A relation does not need to be well defined. An example of this would be y^2 = 4. y = 2 or -2.
An ordered pair that would be part of a relation but not a function would be (x, y^2) vs an ordered pair possible in a function which would be (x^2, y).
How do you find the formula for a cube?
you tube videos
Alternatively:
If the cubes edges are 5cm long, then you can find:
a) its total surface area (of the 6 square faces) = 5cmx5cmx6 = 150 square centimetres
b) its volume by multiplying length by breadth by height = 5cm x 5cm x 5cm =125cc (cubic centimetres
c) the total length of all of its edges, of which there are 12 measuring 5cm each
= 12 x 5cm = 60cm
How did the word 'seed' come about in tennis?
A "seed" is a player who is "planted" (i.e., arranged or selected) into the "draw" (i.e., order of play) for a given tournament. The "seeding" process usually involves taking the highest-ranked or rated players, first, followed by lower-ranked players, followed by "wild-card" and "qualifying" players (i.e., those whose rank or rating is not sufficient enough to be considered along with the aforementioned ratings). Certain lower "seeds" might be placed higher than other, more qualified, players, or otherwise arranged, if the tournament directors deem them to be worthy based on their popularity with the public (i.e., box office draw) or if the directors want to arrange a particularly interesting match. A player who has been selected to play in the "main" (i.e., non-qualifying) draw, is said to be a "seeded" player.
Where did the word Braille come from?
"Braille"comes from the name of its French inventor, Louis Braille (1809-1852). He invented it so that blind people like himself would be able to read.
Where did the word money come from?
The English word money comes from the Middle English term moneie. The word originally came from the Latin moneta which meant a mint for coins.
How do you pronounce Sine Metu?
['sine 'metu]
[s] as in "soft"
[i] as in Spanish "fin", Italian "finire", French "dire"
[n] as in "none"
[e] as in Spanish "dime", Italian "volere", French "été"
[m] as in "me"
[e] same as above
[t] as in Spanish "tiempo", Italian "vento", French "tu"
[u] as in Spanish "tú", Italian "venuto", French "nous"; more or less as in "boot" but shorter.
['] stressed syllable
In algebra, the domain consists of all possible values for the x variable that could make the function work. The range is all of the possible values of the function, using each number in the domain.
Yes. How else would they get the right size and shape?
Where did the word jigsaw come from?
"vertical reciprocating saw," 1873, Amer.Eng., from jig with its notion of "rapid up-and-down motion." Jigsaw puzzle first recorded 1909; originally one with pieces cut by a jigsaw.
The word jigsaw came from a place in Greece called Jigsawlsawer Village in Taminia. They invented the game called Jenga, which leaded to making the type of game called a Jigsaw puzzle created by a man called Septimus Agorius.
Does the law protect the use of a emblem to identify a product?
If it is registered as a trademark or "logo," it will be protected. If you register it in a state, the protection will extend only to its use in that state. You have to register it with the federal patent and trademark office to protect it nationally and in some countries.
Is there any use of theory of relativity in day to day life?
Probably not. That's part of what made the theory so stunning-- it seemed so unconnected to our everyday experience of the world. Another way to say this is that the theory is counter-intuitive.
Where does the word Botany come from?
It comes from the Latin botanicus and the Greek botane meaning 'plant' or ' herb'.
ANAMIKA Botany word come from greek word Boskein. Boskein means "grazing".
Actually, you don't even need to know your height. All you need to do is:
1. pick any arbitrary point that is somewhat close the the object. preferably about as far away as the object is tall.
2. measure the distance between the point you picked and the base of the object.
3. use a protractor to measure the angle from the point you picked. The angle should be between the ground and the hypotenuse of your make believe triangle.
4. Then, all you have to do is the math. Knowing your height, you could measure the lengths of your shadow and the object's shadow then use proportions to solve for the height of the object:
h = your height
s = length of your shadow
H = object's height
S = object's shadow h/s = H/S
Sh/s = H
