anyamaddie: What is the difference between geometry and trigonometry?
This school year, I am going to take geometry and trigonometry at the same time. There would be a huge possibility that my teacher would ask this question. Besides, I don’t understand anything.
Answers and Views:
Answer by Mack
Trigonometry has to do with angle measurement, particularly with right triangles but it can be applied to any figure. Trigonometry is also used in calculating spheres and other 3D planes. Geometry studies lines, planes, points, shapes.. So taking geometry first is highly recommended. Do no take two at the same time. Because in trigonometry you suppose to be familiar with geometry and you also need advance algebra you have not taken it yet. Because trignometry deals with functions.
Having taught both topics, I don’t think there should be a problem doing both at the same time providing that they are basic courses.
Trigonometry is about working out the sizes of angles or the lengths of lines from one another. Geometry if more about whether angles and lengths are equal or not without actually working out their sizes. That’s a very brief answer and so has possibly simplified it too much.
Answer by PreenIn geometry you learn a little trig but mostly you do proofs and you learn about lines and angles. in trig, you use trig all the time and you find measures of everything with very complicated formula’s. the only thing they share is their suffix.Answer by miroshnichenko_alexander
Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the third century B.C., geometry was put into an axiomatic form by Euclid, whose treatment – Euclidean geometry – set a standard for many centuries to follow. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere, served as an important source of geometric problems during the next one and a half millennia.
Introduction of coordinates by René Descartes and the concurrent development of algebra marked a new stage for geometry, since geometric figures, such as plane curves, could now be represented analytically, i.e., with functions and equations. This played a key role in the emergence of calculus in the seventeenth century. Furthermore, the theory of perspective showed that there is more to geometry than just the metric properties of figures. The subject of geometry was further enriched by the study of intrinsic structure of geometric objects that originated with Euler and Gauss and led to the creation of topology and differential geometry.
Since the nineteenth century discovery of non-Euclidean geometry, the concept of space has undergone a radical transformation. Contemporary geometry considers manifolds, spaces that are considerably more abstract than the familiar Euclidean space, which they only approximately resemble at small scales. These spaces may be endowed with additional structure, allowing one to speak about length. Modern geometry has multiple strong bonds with physics, exemplified by the ties between Riemannian geometry and general relativity. One of the youngest physical theories, string theory, is also very geometric in flavour.
The visual nature of geometry makes it initially more accessible than other parts of mathematics, such as algebra or number theory. However, the geometric language is also used in contexts that are far removed from its traditional, Euclidean provenance, for example, in fractal geometry, and especially in algebraic geometry.[1]
Trigonometry (from Greek trigōnon “triangle” + metron “measure”)[1] is a branch of mathematics that deals with triangles, particularly those plane triangles in which one angle has 90 degrees (right triangles). Trigonometry deals with relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those relationships.
Trigonometry has applications in both pure mathematics and in applied mathematics, where it is essential in many branches of science and technology. It is usually taught in secondary schools either as a separate course or as part of a precalculus course. Trigonometry is informally called “trig.”
A branch of trigonometry, called spherical trigonometry, studies triangles on spheres, and is important in astronomy and navigation.
Answer by sam_jennings64One of the major differences between trigonometry and geometry, though, is that trigonometry concerns itself with actual measurements of angles and sides of a triangle, whereas geometry focuses on establishing relationships between unmeasured angles and sides.
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