What does trigonometry mean?
This important branch of mathematics deals with the study of triangles. The related chapters have several formulas, relations, theorems and proofs. Therefore, it’s necessary to go through the worked examples and proofs thoroughly. Trigon (in short), means trigonometry, a branch of mathematics dealing with the study of triangles. The complete proof and understanding of the concepts of trigonometry have practical applications too. The topic is not tough but the involvement of several formulas and proofs compel you to scare the topic but on the other hand, it’s simple. You can easily excel at the topic with the appropriate guidance and understanding of the topic.
Why do trigonometric ratios seem tough? Is the topic tough?
Trigonometry is indeed a new topic introduced to the tenth-grade students and they find the same tough to understand in the beginning. Speaking frankly, trigonometric ratios is the basic concept and the easiest will be introduced in tenth. The actual need is to attain the understanding starting with the base and not just question attempting sessions. The clarity of the base concepts will help you explore the topic with ease. That’s why the wise approach is to start with the basic terms like what is trigonometry, knowledge about ratios, practical uses and application of the same, understanding that trigonometry deals a lot with circles too, etc. Learning the identities thoroughly and by-hearting the mnemonic tables prove to be a great help.
So, keeping the above points in mind trigonometry is not a tough task. Just the need is to excel the topic with the help of daily practice. Trigonometry should be certainly understood well as in higher classes one needs to understand many topics based on the concept.
Practical applications of the concept
Trigonometry finds its application in the field of oceanography, seismology, navigation and physical sciences, astronomy etc. It is also equally useful in measuring the heights of very tall objects and the length of physical features of nature like rivers and mountains etc.
Simple tips to excel the topic and have fun
Trigonometry relates the functions that are important to understand the properties and relations among sides and angles. Learning the basics makes one able to assess these relationships. Learning with Cuemath gives you a complete insight into the topic. The 4 methodologies find their way in excelling the topic of trigonometry.
4 basic methodological approaches to ace the topic of trigonometry
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Focussing trigonometric concepts
The major stress should be emphasized on understanding the core of the concept. The core of the concepts again includes four parts, which can be summarised as under:
- Triangular angles should be well defined: The definition makes it clear that trigonometry deals with triangles and circles. So, it is essential to be aware of the relationship of the angles and sides of the triangles and be clear with the concept. The main attractions of the topic i.e., hypotenuse, obtuse, acute etc. forms the common terms that one should be familiar with.
- Unit circle construction: The concept of unit circle finds its importance in trigonometry as it supports framing the relationship between the various functions of the concept like the relation of the ratios and their interdependence on one another. If the unit circle is clear, it becomes really easy to use the related values.
- Knowledge about the ratios: The six functions of trigon form the base of the concept and when expressed together they describe a triangle that supports the easy understanding of its unique properties of triangle. The six functions can be summarised as sine, cosine, tangent, secant, cosecant and cotangent.
Understanding the interrelationships
It’s essential to understand the application and concepts
- Basic uses.
- Cycles of nature to be given a thought.
- Visualization of natural phenomena.
Studying and analysis in advance
- Thoroughly going through the chapter for clarity in concept.
- Making notes while studying.
- Problem-solving and practice application of the study material.
Concentrating and taking class notes
- Your engagement and concentration in classes add to your understanding and knowledge.
- The daily practice and attempting questions from different books. Follow up-to practice more and more problems to excel the topic.
The above-mentioned points surely help you to excel in the topic of trigonometry and makes it easy to understand the concept. It is necessary to understand the concept of the unit circle. The unit circle helps you in the construction of any triangle in a way that the hypotenuse results to be of unit length. The same is of great help as it relates to all the other trigonometric ratios.
