NCERT Solutions Class 10 Maths Chapter 8 Introduction to Trigonometry
NCERT solutions for class 10 maths chapter 8 Introduction to Trigonometry builds on the concept of a right triangle and introduces students to the basics of trigonometry. The word ‘trigonometry’ is derived from the Greek words ‘tri’ (meaning three), ‘gon’ (meaning sides), and ‘metron’ (meaning measure). Trigonometry can be defined as the study of relationships between the sides and angles of a triangle. There are two main concepts that students will learn in this chapter, which are, trigonometric ratios and trigonometric identities. Most of the technologically advanced methods used in Engineering and Physical Sciences are based on trigonometric concepts making it an extremely important lesson. This is one of the most scoring topics in the board examinations provided they go through the topic with diligence and in an organized manner. These concepts are also used in sister topics of higher classes such as calculus and geometry.
NCERT solutions class 10 maths Chapter 8 helps students recognize the trigonometric functions that are used in an equation. There are 6 trigonometric ratios in a right-angled triangle. These are sine, cosine, tangent, cosecant, secant, and cotangent. These solutions will be the perfect guidelines that a student can use to build a very strong conceptual foundation of these ratios. They also enable kids to explore some practical applications of trigonometry. In this class 10 maths NCERT solutions Chapter 8, we will take a look at this lesson in detail and see how to effectively apply these concepts and also you can find some of these in the exercises given below.
- NCERT Solutions Class 10 Maths Chapter 8 Ex 8.1
- NCERT Solutions Class 10 Maths Chapter 8 Ex 8.2
- NCERT Solutions Class 10 Maths Chapter 8 Ex 8.3
- NCERT Solutions Class 10 Maths Chapter 8 Ex 8.4
NCERT Solutions for Class 10 Maths Chapter 8 PDF
A trigonometric ratio of an acute angle in a right triangle expresses the relationship between the angle and the length of its sides. The entire chapter of trigonometry is based on this simple concept. Throughout this lesson, there will be several important inferences drawn from theorems that will be useful in performing calculations. One such fact is that the values of the trigonometric ratios of an angle do not vary with the lengths of the sides of the triangle if the angle remains the same. To learn more, the NCERT solutions class 10 maths chapter 8 Introduction to Trigonometry can be downloaded for free in a scrollable PDF format using the links given below.
☛ Download Class 10 Maths NCERT Solutions Chapter 8
NCERT Class 10 Maths Chapter 8
NCERT Solutions for Class 10 Maths Chapter 8
NCERT Solutions Class 10 Maths Chapter 8 Introduction to Trigonometry covers all the basic concepts of trigonometry. This chapter also consists of many interesting formulas that can help solve questions related to real-life situations. Trigonometry is an essential concept for higher classes and competitive exams. As this is such a crucial lesson it is highly recommended to revise the important concepts outlined regularly. You can go through the detailed analysis of NCERT Solutions Class 10 Maths Chapter 8 Introduction to Trigonometry mentioned below:
- Class 10 Maths Chapter 8 Ex 8.1 - 11 Questions
- Class 10 Maths Chapter 8 Ex 8.2 - 4 Questions
- Class 10 Maths Chapter 8 Ex 8.3 - 7 Questions
- Class 10 Maths Chapter 8 Ex 8.4 - 5 Questions
Topics Covered: The topics covered in class 10 maths NCERT Solutions chapter 8 are trigonometric ratios, trigonometric identities, trigonometric ratios of specific angles, and trigonometric ratios of complementary angles. The discussion on trigonometric ratio and identities will be limited to acute angles only.
Total Questions: Class 10 maths chapter 8 Introduction to Trigonometry consists of 27 questions, of which 10 are straightforward, 10 are moderate, and 7 are long answer type problems. These sums have been distributed over 4 exercises.
List of Formulas in NCERT Solutions Class 10 Maths Chapter 8
NCERT Solutions Class 10 Maths Chapter 8 is a chapter based on formulas. It is advisable to create a formula chart as there are several formulas associated with trigonometry. Students must memorize all these formulas in order to produce satisfactory results and solve problems. As it can get confusing at times hence, practicing sums based on these formulas and identities is equally necessary. Kids can also go through the derivation of these formulas to develop a rock-solid foundation as well as understand the underlying concepts. Let us now go through some of the formulas covered in this chapter.
- sin A = Perpendicular/ Hypotenuse
- cos A = Base/ Hypotenuse
- tan A = Perpendicular/ Base
- cos2 A + sin2 A = 1
- 1 + tan2 A = sec2 A
- cot2 A + 1 = cosec2 A
FAQs on NCERT Solutions Class 10 Maths Chapter 8
Why are NCERT Solutions Class 10 Maths Chapter 8 important?
NCERT solutions class 10 maths chapter 8 will help students establish a relationship between the sides and angle of a triangle. This topic is important for class 10 maths as it carries a huge weightage in exams and is very scoring. Chapter 8 lays a foundation for more complex trigonometry topics that will be taught in higher classes. This is considered to be the most essential subject matter that kids will be introduced to throughout their academic careers.
Do I Need to Practice all Questions Given in NCERT Solutions Class 10 Maths Introduction to Trigonometry?
Students should not miss out on any questions from NCERT Solutions Class 10 Maths Introduction to Trigonometry because each allows them to understand the topic at length and explore the formulas. A majority of questions are based on real-life examples thus, this topic becomes relatable and engaging. With the help of these problems, kids have the opportunity to score excellent results in their examinations.
What are the Important Topics Covered in NCERT Solutions Class 10 Maths Chapter 8?
The NCERT Solutions Class 10 Maths Chapter 8 have a set of topics that give kids a holistic understanding of this lesson hence, all are equally important. Students must progress through this chapter very meticulously and with great focus. There are several tips and tricks outlined in this lesson that are helpful not only in acing the board exams but also in attempting challenging problems that appear in higher classes.
How many questions are there in Class 10 Maths NCERT Solutions Chapter 8?
A total of 27 questions are included in NCERT solutions class 10 Maths Chapter 8 divided amongst 4 exercises. These sums cover different aspects of trigonometry including trigonometric ratios and identities. It is advisable for students to go through the chapter summary and solved examples before attempting these exercises.
What are the Important Formulas in NCERT Solutions Class 10 Maths Chapter 8?
One can find a variety of formulas in NCERT Solutions Class 10 Maths Chapter 8. Some of the important formulas are reciprocal functions, trigonometric ratios of complementary angles, the value of sin, cos, and many more. One has to master the formulas in order to crack all the questions of this chapter. Students can make formula charts to remember all the important formulas and revise them when required.
How can CBSE Students utilize NCERT Solutions Class 10 Maths Chapter 8 effectively?
CBSE students can utilize NCERT solutions class 10 maths chapter 8 effectively by solving each and every question. In case they get stuck on any problem, kids must check the detailed solutions to that sum. They can also go through the derivation of certain formulas to get a better idea of how to apply them to problems efficiently. It is necessary to go through all the theories before attempting the sums in order to get the most out of these solutions.