0
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 cosine's law how can solve this type of question?
In a triangle with vertices A, B and C and sides a, b and c where a lower case side is opposite the upper case vertex,
a^2 = b^2 + c^2 - 2*b*c*Cos(A).
The second part of the question cannot be answered since "this type of question" is not described!
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals", "squared", "cubed" etc.
Having said that, the equation in the question cannot represent a solid since it has only two variables: a solid needs three.
If a boat is 50 meters away from a lighthouse what is the height?
Not enough information has been given to answer this question such as what is the angle of elevation?
What are the contributions of Johann muller in trigonometry?
REGIOMONTANUS (1436-1476), German astronomer, was born at Konigsberg in Franconia on the 6th of June 1436. The son of a miller, his name originally was Johann Muller, but he called himself, from his birthplace, Joh. de Monteregio, an appellation which became gradually modified into Regiomontanus. At Vienna, from 1452, he was the pupil and associate of George Purbach (1423-1461), and they jointly undertook a reform of astronomy rendered necessary by the errors they detected in the Alphonsine Tables. In this they were much hindered by the lack of correct translations of Ptolemy's works; and in 1462 Regiomontanus accompanied Cardinal Bessarion to Italy in search of authentic manuscripts. He rapidly mastered Greek at Rome and Ferrara, lectured on Alfraganus at Padua, and completed at Venice in 1463 Purbach's Epitome in Cl. Ptolemaei magnam compositionem (printed at Venice in 1496), and his own De Triangulis (Nuremberg, 1533), the earliest work treating of trigonometry as a substantive science. A quarrel with George of Trebizond, the blunders in whose translation of the Almagesthe had pointed out, obliged him to quit Rome precipitately in 1468. He repaired to Vienna, and was thence summoned to Buda by Matthias Corvinus, king of Hungary, for the purpose of collating Greek manuscripts at a handsome salary. He also finished his Tabulae Directionum(Nuremberg, '475), essentially an astrological work, but containing a valuable table of tangents. An outbreak of war, meanwhile, diverted the king's attention from learning, and in 1471 Regiomontanus settled at Nuremberg. Bernhard Walther, a rich patrician, became his pupil and patron; and they together equipped the first European observatory, for which Regiomontanus himself constructed instruments of an improved type (described in his posthumous Scripta, Nuremberg, 1544). His observations of the great comet of January 1472 supplied the basis of modern cometary astronomy. At a printing-press established in Walther's house by Regiomontanus, Purbach's Theoricae planetarum novaewas published in 1472 or 1473; a series of popular calendars issued from it, and in 1474 a volume ofEphemerides calculated by Regiomontanus for thirty-two years (1474-1506), in which the method of "lunar distances," for determining the longitude at sea, was recommended and explained. In 1472 Regiomontanus was summoned to Rome by Pope Sixtus IV. to aid in the reform of the calendar; and there he died, most likely of the plague, on the 6th of July 1476.
How do you convert radians per second to meters per second?
the tangential velocity is equal to the angular velocity multiplied by the radius the tangential velocity is equal to the angular velocity multiplied by the radius
Who is known as the father of trigonometry?
Hipparchus is the father of trigonometry and he was a Greek astronomer who lived between 190-120 B.C. He is considered as the father of trigonometry, a branch of mathematics which studies the angles of sides of triangles. :)
largest is lies opposite to the largest side , so the largest angle is the angle which is opposite to the 23.8cm side. let a=11.3 ,b=23.8 and c=21.7 ,then the largest angle cosB=(a2+c2 -b2)/2ac ,here the largest angle is B
How do you do an ellipse graph?
As you may or may not be aware, there are multiple co-ordinate systems by which a graph may be defined. An ellipse graph has the general equation in the following systems:
Cartesian (what most people are used to): (X-H)^2 (Y-K)^2
---------- + ----------- = 1 (A,B,H,K are constants) A^2 B^2
Polar: r(θ)= sqrt( (bcos(θ))^2+(asin(θ))^2 )
Parametric: x = a cos(t) , y = b sin(t)
What is a real life example of the sine function?
A real life example of the sine function could be a ferris wheel. People board the ride at the ground (sinusoidal axis) and the highest and lowest heights you reach on the ride would be the amplitudes of the graph.
A right triangle has a hypotenuse of length 17 and a leg length 11 what is the area of the triangle?
Its other leg is sqrt(172 - 112) = sqrt(168)
So area of traiangle = 0.5*11*sqrt(168) = 71.29 square units, approx.
Well, there are a few ways-
A) You can go with Sine, Cosine, Tangent (Spelling?)
And that works like this:
Sine=O/H (Opposite over Hypotenuse I believe)
Cosine=A/H (Adjacent side over Hypotenuse I believe)
Tangent=O/A (Opposite over Adjacent side I believe)
This is how you remember that:
Sine=Oscar/Had
Cosine=A/Hairy
Tangent=Old/A**
B) You can do it the easy way (how I do it)- A right triangle goes like this: The legs are A and B, and the hypotenuse is C. This is where we start.
A=B
A=C/ (the square root of 2)
B=A
B=C/ (the square root of 2)
C=A* (the square root of 2)
C=B* (the square root of 2)
All you math teachers out there- this works every time. I know it's not traditional, and there might be some building blocks it skips, but hey- it gets you to where you need to be.
Who would use a Theodolite and Chain in there work?
Surveyors and engineers.
Please see the related link that talks about theodolites, who uses them, how they work, and a few neat pictures:
What is the equation of converting horsepower to joule?
Horsepower is a unit of power, but joules is a unit of energy. To convert horsepower to joules, you need an additional time parameter. One horsepower is about 745.7 watts. So a horsepower-hour is 745.7 watt-hours. One watt-hour is 3600 joules. A horsepower-hour is then 745.7 times 3600 = 2684520 joules.
Using Pythagoras' theorem the length of the ladder is 20.248 feet
What is angle of reference in trigonometry?
This is a VERY important question and I am glad you asked it. First you have to remember that in drawing angles we think of 4 quadrants. Think of the XY plane - the first quadrant is where BOTH X and Y are positive. In the 2nd quadrant the X is negative and the Y is positive. In the 3rd quadrant the X and the Y are negative. In the 4th quadrant the X is positive and the Y is negative.
Normally when we draw an angle we draw an angle less than 90 degrees. However, we can draw any angle we want from 0 to 360. However that angle can be represented by an angle less than 90 degrees in a certain quadrant.
Take an angle like 120 degrees. That angle is the same as a 60 degree angle in the 2nd quadrant. A 210 degree angle is the same as a 30 degree angle in the 3rd quadrant. A 359 degree angle is the same as a 1 degree angle in the 4th quadrant.
Those smaller angles are reference angles. This explanation would be better if I could insert graphs.
I have attached a link to a picture. Alpha is the angle and Beta is the reference angle.
Define system of measurement of sexagesimal?
It is a system of measurements where each "unit" is 60 times the "unit" to its right.
The greatest possible slope is 1.
What mathematician created trigonometry?
Trigonometry goes back to ancient times. The first trigonometric table is attributed to Hipparchus of Nicaea.
What is in a right triangle the longest side which is opposite the right angle?
That is called a "hypothenuse".
How do you find the missing angle measures?
you will have two sides with measurements on them; your angle will be between to two. get me?
you would then type this in your calculator:
sin-1 (shift, then sin, ) , and don't press anything else, and then after that, type in
(one length), and then divided by (the other length) e.g :
sin-1 8 divided by 11.
you then write down the answer ( whole number because it is an angle), and there you go!
Just type in SOH/CAH/TOA in the Google search box and you will have a better description than i have given. if you have anymore questions on trigonometry then i will happily answer them. hope this helps as i have taken a long time to write it! Lauren.
