Mathematics has a variety of branches such as algebra, geometry, probability, trigonometry, and more. We all understand that geometry studies different shapes, sizes, and positions based on the number of sides, angles, and many more. Whereas trigonometry is the subset of geometry that deals with the properties of one of the shapes in geometry called ‘Triangle.’
The difference between Geometry vs Trigonometry is that trigonometry is a fundamental branch of mathematics, while Geometry is only related to the term trigonometry. It is concerned with position, size, and shape, etc.
In this blog, we’ll discuss How Geometry vs Trigonometry is used in math?
Let’s start with the meaning of Geometry and Trigonometry.
Geometry is the study of mathematics concerned with the shape of individual objects, dimensional relationships among various things, and properties of the surrounding space. The study of properties of a given element that remains constant under specified transformation.
Trigonometry is the study of mathematics that studies the relationship between the sides and the angles of the triangle. They are concerned with specific functions, angles and their application to calculation. It helps in finding the measure of unknown dimensions of the right-angled triangle using formulas.
Geometry is a main part of mathematics, while trigonometry is a branch of geometry.Geometry is a study of figures. Trigonometry examines the properties of triangles.
Differences between Geometry vs Trigonometry
|Definition||The branch of mathematics deals with measurements and the relationship between different shapes.||Trigonometry studies the properties of triangles, lengths, and angles, and it also deals with waves.|
|Study||It is the study of the properties of various geometrical figures.||It is the field of geometry that deals with triangles.|
|Types||Geometry can be categorized as a plane, solid and spherical.||It is the study of the properties of the right-angle triangle.There are six trigonometry relations named sine, cosine, tangent, secant, cosecant, and cotangent.|
|Properties||Geometry is the study of shapes, sizes, and properties of space of a given number of dimensions.||It is the study of the properties of the right-angle triangle.|
|Geometry vs Trigonometry||Geometry is the superset of trigonometry because it deals with different shapes and properties.||Trigonometry is the subset of geometry because that deals with angles and lengths.|
How to use geometry and trigonometry in math?
Trigonometry is an important branch of mathematics that deals with the triangle’s length, height, and angles, especially the right angle triangle. It is also a study of the side length of a triangle. It involves various trigonometric identities. Trigonometry also deals with the calculus of trigonometric functions to find the area.
Geometry is an important branch that deals with the measurement and the relationship between points, lines, angles on the plane surface. Geometry is categorized into two types:
- Two-dimensional geometry or plane geometry.
- Three-dimensional geometry or solid geometry.
Plane geometry deals with two-dimensional shapes with length, and breadth whereas three-dimensional geometry deals with solid shapes that have three dimensions such as length, breadth, and height.
How does geometry relate with our daily life?
- Construction of building:
The use of geometry in real life is the construction of a building, dams, rivers, and roads, etc. Geometry has been used to make temples that hold our country’s heritage.
- Computer graphics:
Computer graphics is a prime application of geometry in daily life we can consider here. Smartphones, laptops, etc., are designed using geometrical concepts.
Using geometry is how an artist uses the concept to design the best paintings and express their ideology. The use of colors, brushes, and different strokes give excellent artwork.
- Estimating orbits and planetary motions:
This concept is used by astronomers to track stars, calculate the orbits and distance between planets and satellites. The scientist also measured the factors and set the path for satellite launch.
- Interior design:
Interior design applications of arranged geometry in daily life can also be established. Locating new items in an open space is done wonderfully using the concept of coordinate geometry.
How does trigonometry relate with our real life?
- Architecture and engineering
When an engineer calculates the length of cables, the height of support towers, and the angle between the two when gauzing weight loads and bridge strengths, trigonometry helps him calculate the correct angles.
- Music theory and function
Trigonometry plays a major role in musical theory and production. A graphical presentation of music allows a computer to create and understand sounds. It also allows the sound engineer to visualize sound waves to adjust the volume, pitch, and other elements to create desired sound effects.
- Electrical engineer and trigonometry
Modern power companies use interchanging currents to send electricity over long-distance wires. Trigonometry calculations are used in a day to day tasks of an electrician, such as bending conduits.
- Manufacturing industries
Trigonometry plays a major role in the industry, allowing manufacturers to create everything from automobiles to zigzag scissors. Engineers rely on trigonometric relationships to determine the sizes and angles of mechanical parts used in machinery and tools.
- Game development
The chances are that if you do, then you’ll need to know at least some trigonometry. It is used in many aspects of game development. Whether you want to create a personality, make them move, or develop the environment they will move in; you’ll need to learn trigonometry. In most games, trigonometric functions get implemented to obtain desired results.
We discussed the difference between Geometry vs Trigonometry and how they are used in our daily life. We mostly study the relationship between the side lengths and angles of a right triangle, and we consider a right-angled triangle. The three sides will be the height, base, and hypotenuse, respectively. Geometry is the study of various sizes, shapes, and properties of vacant spaces of a given number of dimensions, such as 2D or 3D. Geometry vs trigonometry seem related to each other, but they are not the same.