Difference Between Trigonometry and Geometry

Mathematics is a subject that has various important branches such as arithmetics, geometry, algebra, trigonometry, probability, and so on. We know that geometry deals with different shapes, sizes, and positions of different shapes. But trigonometry is the subset of geometry, that deals with the properties of one of the shapes in geometry called “Triangle”. Both the trigonometry and geometry seems to be like related to each other, but of course, they are not the same. In this article, let us discuss the major difference between trigonometry and geometry with a detailed explanation.

Trigonometry and Geometry in Maths

Trigonometry: Trigonometry is a branch of Mathematics, that deals with the length, height and angles of a triangle. It especially deals with the right angle triangle. It is the study of the side length of a triangle. For any right-angle triangle, the six basic trigonometric ratios are sine, cosine, tangent, cosecant, secant, and cotangent. These basic functions are derived using the sides of the triangle such as adjacent side, opposite side and the hypotenuse side.

Elementary trigonometry is useful and easier as it involves the process of finding the area of right triangles, and area of quadrilateral using triangle concepts. But, whereas in advanced trigonometry, it involves various trigonometric identities, trigonometric equations, and also it deals with the calculus of trigonometric functions to find the areas. The applications of trigonometry are widely used in the architecture to construct the building.

Geometry: In Mathematics, geometry is an important branch that deals with the study of measurements and the relationship between points, lines, angles on the plane surface. Basically, Geometry is classified into two types, namely

  • Two-Dimensional Geometry or Plane Geometry
  • Three-Dimensional Geometry or Solid Geometry

Plane geometry deals with the two-dimensional shapes that have two-dimensions such as length and breadth, whereas three-dimensional geometry deals with the solid shapes that have three dimensions, such as length, breadth and height. Here, we are going to discuss the difference between trigonometry and geometry in detail.

What is the Difference Between Trigonometry and Geometry

Go through the major difference between the trigonometry and geometry which are listed below in the tabular form.

S. No Geometry Trigonometry
1 It is the branch of mathematics that deals with the study of measurements and the relationship between different shapes It is the branch of Geometry that deals with triangles
2 It is the study of properties of various geometrical figures It is the study of properties of the right angle triangle
3 It is the superset of trigonometry Trigonometry is the subset of geometry

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Frequently Asked Questions on Difference Between Trigonometry and Geometry

Is Geometry a superset of trigonometry?

Yes, Geometry is a superset of trigonometry, whereas trigonometry is a subset of geometry.

Mention the major differences between trigonometry and geometry.

Trigonometry is the study of properties of triangles, especially right triangles. But geometry is the study of properties of all the geometrical figures.

What are the applications of trigonometry?

Trigonometry is used in many real-time applications such as the construction of buildings, satellite systems, map creation, aviation industries, and so on.

Why do we need trigonometry?

The basic of trigonometry is the right triangle, where one of the angles of a triangle is 90 degrees. With the help of trigonometry, the missing or the unknown angle or the side can be calculated.

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