RS Aggarwal Class 10 Solutions - Trigonometric Identities

There are 3 exercises along with a formative assessment in Chapter 8 of RS Aggarwal Class 10. Exercise 8A has 37 questions. In Exercise 8B, there are 15 questions. There are 40 questions in Exercise 8C. The formative assessment section consists of 20 questions. A multiple-choice exercise is also given in this chapter, containing 53 questions. To reinforce the concepts of this chapter and prepare for exams, students must solve all the exercises from Chapter 8 of the RS Aggarwal Class 10 Maths book.

Students who want to do some extra practice of trigonometric identities can easily download the RS Aggarwal Solutions for Class 10 Maths Chapter 8 from Vedantu’s mobile application or website. All they need to do is go to Vedantu’s website and select the study material option. Under this section, choose “Popular Books Solutions”. The RS Aggarwal Solutions option is given here. Click on that, and you will be redirected to a page with the classwise RS Aggarwal Solutions. From here, select RS Aggarwal Class 10 Solutions. On this page, you will find the solutions to all the exercises from each chapter of the RS Aggarwal Class 10 Maths book.

These solutions are carefully and precisely prepared by subject experts at Vedantu. They prepare these solutions in such a manner that if any student gets stuck while solving the question, they can refer to the solutions to understand it. This will help them prepare this chapter well for the exams and score good marks. The RS Aggarwal book and its solutions are designed as per the latest guidelines and syllabus are given by CBSE. Hence, students can refer to Vedantu’s RS Aggarwal Class 10 Maths Chapter 8 solutions without any hesitation. Questions of all levels of difficulty are covered in Chapter 8 of Class 10 Maths RS Aggarwal book, challenging students to apply what they have learnt about this chapter.

An in-depth comprehension of the RS Aggarwal Solutions to Chapter 8 of Class 10 Maths allows for smooth and effective board examination preparation, as well as preparing for numerous competitive entrance exams for engineering and other colleges. All important concepts of the chapter are covered in the questions asked in the RS Aggarwal Class 10 Maths Chapter 8. Our experts at Vedantu carefully analyze the questions and then prepare the solutions for the students. These solutions are checked quite extensively, before being approved. Hence, students don’t need to worry about the accuracy and precision of the solutions. 

By referring to the RS Aggarwal Class 10 Maths Chapter 8 Solutions, students can develop their logical thinking skills and understand trigonometry identities clearly. Also, the questions given in the chapter will give them an idea about the type of questions that can be asked in their Class 10 Maths board examination. By referring to the solutions, they can learn the proper method to answer every such type of question so that they can score the maximum marks in the exam. Each solution is given step-by-step. Hence, the whole problem is simplified for the ease of understanding of students. This way, students can easily remember the concept on which each question is based. Also, multiple methods of solving one question are given in the solutions. So students can learn different approaches to solving the same question and can solve the questions asked in the exam, by applying any of these approaches. 

On Vedantu’s website, students can access the solutions for Chapter 8 of Class 10 Maths RS Aggarwal book easily. They can refer to these solutions online or download the PDF for offline usage, without any distractions. Also, these solutions are available to all students for free. Hence, they don’t need to shell out any money and buy these solutions from anywhere else.

Tips to Score Good Marks in Maths Chapter 8 Class 10

If a student wants to score good marks by finding out the correct R S Aggarwal Class 10 Chapter 8 trigonometric identities solutions, then he or she must memorize all the important formulas, tables, and concepts that are mentioned in this article. All the Exercise questions with solutions in Chapter 8 - Trigonometric Identities are given below:

Exercise (Ex 8A) 8.1

According to experts, trigonometry can be defined as the branch of Mathematics that mainly deals with triangles. Trigonometry is also known as the field in which students can learn about the relationship that exists between angles or triangles and lengths.

Apart from solving RS Aggarwal solutions Class 10 Chapter 8, students can also use the knowledge of this chapter to measure the distance between any two landmarks and learn about the satellite navigation system.

One of the most important things that students need to learn in this chapter is the topic of the trigonometric value table. This table will go a long way in helping students solve questions related to this chapter. We have attached this table below.

Trigonometric Table for solving Trigonometric Identities Problems for Class 10

The Six Trigonometric Identities

As mentioned above, there are six important trigonometric identities. Till now, we have looked at the values of those identities from different angles. Let’s learn more about those identities in this section.

• Sine Function

The first is the sine function. The sine function of an angle is the ratio that exists between the opposite side length to that of the hypotenuse of a triangle. The value of sine can also be expressed by:

Sin a = opposite / hypotenuse = CB / CA

• Cos Function

The cos function of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. This means that the cos function can be represented as:

Cos a = Adjacent / hypotenuse = AB / CA

• Tan Function

The tan or the tangent function can be defined as the ratio between the length of the opposite side and the length of the adjacent side. Students should remember that it is also possible to represent tan in terms of the values of sine and cos in the form of a ratio. According to this information, the value of a tan function can be equal to:

Tan a = opposite / adjacent = CB / BA

Or Tan a = sin a / cos a

• Secant, Cosecant, and Cotangent Functions

The sine, cos, and tan are three primary functions. Apart from those primary functions, secant, cosecant, and cotangent functions are the additional trigonometric functions. These additional functions can also be defined as the reciprocal of the sine, cos, and tan functions. Cosecant is the reciprocal of the sine function, secant is the reciprocal of cos function, and cotangent is the reciprocal of cot function.

The formulas for all of these additional functions are:

Sec a = 1 / cos a = hypotenuse / adjacent = CA / AB.

Cosec a = 1 / sin a = hypotenuse / opposite = CA / CB.

Cot a = 1 / tan a = Adjacent / opposite = BA / CB.

Some R S Aggarwal Solutions Class 10 Trigonometric Identities

If one wants to solve an expression or an equation, then learning trigonometric functions and identities are important. If we look at this topic from a geometric point of view, then these identities involve various functions related to one or more angles. The identities are also involved in different side lengths and angles of a triangle.

It should be noted that trigonometric identities hold for only a right-angle triangle. Also, all the fundamental trigonometric identities are derived from the six main trigonometric ratios. We have created a list of all the major identities. And that list is mentioned below.

• Reciprocal Identities

Sin θ = 1 / csc θ or csc θ = 1 / sin θ

Cos θ = 1 / sec θ or sec θ = 1 / cos θ

Tan θ = 1 / cot θ or cot θ = 1 / tan θ

• Pythagorean Identities

Sin 2 a + cos 2 a = 1

1 + tan 2 a = sec 2 a

Cosec 2 a = 1 + cot 2 a

• Ratio Identities

Tan θ = sin θ / cos θ

Cot θ = cos θ / sin θ

• Opposite Angle Identities

Sin (-θ) = - sin θ

Cos (-θ) = cos θ

Tan (-θ) = - tan θ

Cot (-θ) = - cot θ

Sec (-θ) = sec θ

Csc (-θ) = - csc θ

• Complementary Angles Identities

Sin (90 - θ) = cos θ

Cos (90 - θ) = sin θ

Tan (90 - θ) = cot θ

Cot (90 - θ) = tan θ

Sec (90 - θ) = csc θ

Csc (90 - θ) = sec θ