Trigonometry is important to mathematics as it involves the study of calculus, statistics and linear algebra. Trigonometry is a essential element of calculus. In statistics, trigonometric functions are needed for the calculation of the bell curve and for the study of periodic periodicities. The other uses of trigonometry in different fields relate to the use of Fourier series, which cannot be computed without the use of trigonometry.
Outside mathematics, it is important in many areas of realistic and practical sciences such as physics, geography engineering, Crystallography, geophysics, cartography, acoustics, medical imaging and pharmacology and architectural design as well as astronomy. Trigonometry plays an important role in astronomy to determine the distance from Earth to numerous neighbouring stars by detecting the shift with Earth's orbit around the Sun as a reference point.
Trigonometry in general deals with the study of the relationships concerning angles and the lengths of triangles.The two branches of trigonometry are:
- Plane Trigonometry
- Spherical Trigonometry
Plane trigonometry concentrates on the connection between the sides of triangles and angles. Students learn about theories like right angles, acute angles, straight angles, complimentary angles and supplementary angles. Considering the triangles are all situated on a plane, the sum of the angles is always 180 degrees.
In spherical trigonometry, students learn about curved triangles drawn on the surface of a sphere. This refers to the sum of the angles of these triangles is higher than 180 degrees. Spherical trigonometry is used in astronomy and navigation.
Your ability to solve Trigonometric problems must be developed, and one of the many ways to develop your problem solving ability is to work out mathematics starting with simple problems and working your way up to the more complicated problems. Some kids spontaneously love the subject quickly and fly through it, while others struggle to understand the basics. If you find yourself in the latter group, don’t give up. Everyone has the capability to understand and enjoy mathematics, work problems, be patient and practice thinking. Anyone who shadows this practice will improve an ability to do mathematics.
Problem solving techniques:
Essentially there are three steps involved in solving a problem.
- Understanding The Problem — before starting to solve any problem you must understand what it is that you are trying to solve. Look at the problem wisely you will find that there are two parts, what you are given and what you are trying to demonstrate. Identify the parts look at: What are you given? What are you trying to show? Is it sensible that there is a link between the two?
- Developing a Plan — once the problem is understood, find a way to connect and solve the same with the given data, and in other words plan accordingly. Look for problems alike, i.e., problems with similar conclusion or the same given data. Try solving a simpler kind of problem, or break the problem into petite and simpler parts by working through an example.
Check if :
- You are using all the given information?
- If there are any other information that would help in solving the problem?
- If you can get additional information from what you have?
- Once you have a plan, carry it out — Check each step, look at the solution once the problem is complete.
- Can you see evidently that the step is correct?
- Is there a way to check answers?
- Is your answer sensible?
- Can you give a different proof?
- Can you see your solution at a glance?
Often times it is just a matter of understanding the problem that prevents its solution.
Mathematics is a subject that is dynamic for gaining a better perception on proceedings that happen in the natural world. A strong focused aptitude for math increases critical thinking and inspires problem-solving skills. One thorough comprehensive area of mathematical and geometrical intellectual is trigonometry which analysis the features of triangles. Triangles are one of the uncomplicated geometrical figures, yet they have varied applications. The key application of trigonometry is found in scientific studies where accurate distances need to be measured.
Learning math sure makes us shrewd and expert at resolving tricky circumstances. From tacking brain-teasers and puzzles to the more multifaceted crunches, the application of basic laws of math and geometry are many. Not only does math deliver a strong basis for solving everyday issues, it unquestionably helps handle conditions with a confident approach.