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The branch of mathematics studying the relationships between angles and sides of triangles is known as trigonometry.
The term trigonometry is a Latin derivative from the words taken from Greek, triangle (Trigonon) and measure (metron). It emerged from Greece in the third century B.C, but most of the essential contributions had come from India during fifth century A.D.
Trigonometry is the methodology which is used to find the unknown elements of a triangle or any other geometric shapes, provided the data consists of enough quantity of linear as well as angular measurements in order to explain a shape in a unique manner. For example, there are two sides of a triangle, a and b. The angle included defines the triangle distinctively. The side c then can be found with the help of the Law of Cosines whereas the angles Î± and Î² can be determined with the help of Law of Sines. The latter can be helpful in finding in circum-radius. The formula used to find the area of the triangle is S= (ab sin Ï’)/2 and we can determine the inradius by the formula S= (a + b + c) r/2 and so on.
It can be understood that if the sides of a triangle are p, q, r, lying opposite to the angles Î±, Î², Ï’, then it will be p + q > r which is one of the inequalities followed by the sides whereas Î± + Î² + Ï’ = 1800 which is the identity clutches in the Euclidean geometry. If Ï’ is the right-angled triangle, Ï’ = 900, then the Pythagorean theorem will be; p2 + q2 = r2.
Trigonometry is similar to geometry, but there are a few major differences between these two branches. Trigonometry is the branch that deals with the measurement of angles whereas geometry is just the opposite of it as it is concerned with the addition and subtraction of the angles given. It is regarded as one of the most essential subjects which consume a lot of time. In order to solve the questions of trigonometry one must remember the table of the Trigonometry. Trigonometry is the subject that plays an important role in computer programming, development of games and building bridges. It also plays an important application in the field of engineering, computers and various other technical fields.
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