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RS Aggarwal Class 10 Solutions - Trigonometric Ratios

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Trigonometric Ratios Solutions for RS Aggarwal Class 10 Chapter 5

RS Aggarwal Class 10 Maths Chapter 5 Trigonometric Ratios can be considered as a stepping stone to learning the interesting problems of sine, cos, tan, sec, cosec, and cot. The knowledge gained at this stage of a student’s life is very crucial as it builds the base for advanced trigonometry in Classes 11 and 12. Therefore, to learn the chapter well, the students need to practice with RS Aggarwal Solutions Class 10 Trigonometric Ratios. Vedantu provides a highly credible solution for this chapter. It is created by experienced subject matter experts who have solved each question with utmost precision. So, download your free PDF copy of the solution from Vedanta’s website and start learning trigonometric ratios. The NCERT Solutions are always beneficial in your exam preparation and revision. Download NCERT Solutions for Class 10 Maths from Vedantu, which are curated by master teachers. Science Students who are looking for Class 10 Science NCERT Solutions will also find the Solutions curated by our Master Teachers helpful.

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RS Aggarwal Solutions for Class 10 Maths Chapter 5

We have provided step by step solutions for all exercise questions given in the pdf of Class 10 RS Aggarwal Chapter 5 - Trigonometric Ratios. All the Exercise questions with solutions in Chapter 5 - Trigonometric Ratios are given below:

Exercise (Ex 5A) 5.1


RS Aggarwal Class 10 Maths Solutions Chapter 5

Trigonometric Ratios are the ratios that help to relate the right angle of a triangle to the ratios of two side lengths of a triangle. Trigonometric Ratio has some other names as well like Trigonometric Functions, Angle Functions, Circular Functions, Goniometric Functions.


Trigonometric Ratios have a great number of applications. They are used in navigation, celestial mechanics, solid mechanics, and many more.


There are in total six Trigonometric Ratios out of which three are: sine, cosine, and tangent. These three ratios are used more when compared to the rest of the ratios. The other three ratios are the reciprocal of the first three ratios. The last three ratios are cosecant, secant, and cotangent.

Consider a right angle triangle named ABC where AB= Hypotenuse 

BC is the opposite side of vertice A 

AC is an adjacent side of vertice A

Angle ACB is right angle triangle

Angle BAC is the acute angle

The six trigonometric ratios can be found as:

Sine

Sin A = Perpendicular/Hypotenuse 

          = Opposite Side/Hypotenuse

Cosine

Cos A = Base/Hypotenuse 

           = Adjacent side/Hypotenuse

Tangent

Tan A = Perpendicular/Hypotenuse 

            = Opposite Side/Hypotenuse 

Cosecant

Cosec A = Hypotenuse/ Perpendicular

               = Hypotenuse/ opposite  side

Secant

Sec A = Hypotenuse/ Base

           = Hypotenuse/ Adjacent Side

Cosecant

Cotan A = Base/Hypotenuse

               = Adjacent Side/Hypotenuse


RS Aggarwal Class 10 Chapter 10 Trigonometric Ratios: Complementary Angles

Complementary angles are pairs of angles with a total sum of 90° example 75° and 15°, 20° and 80°, etc.

sin (90° – θ) = cos θ

cos (90° – θ) = sin θ

tan (90° – θ) = cot θ

cot (90° – θ) = tan θ 

sec (90° – θ) = cosec θ

cosec (90° – θ) = sec θ

All of the above-mentioned formulas can be used to find the missing sides of a triangle if we know any of the sides of the Triangle. But do keep in mind that these formulas can only be applied to the triangles containing the right angle.


Class 10 RS Aggarwal Maths Chapter 5: Examples

Now let us practise with some examples; you will find similar types of these in Vedantu’s solution:

Problem 1: If Hypotenuse = 8 cm and Perpendicular = 4 cm . Then find the acute angle Triangle.

Ans: Sin A = Perpendicular/ Hypotenuse 

                  = 4/8 = ½

        Sin A = ½

By following the table for Trigonometric ratios value we can also write 

    Sin A = 30°


Problem 2: Determine tan A if Sin A= 8/5 and cos A = 2/5.

Ans: As we know Sin A = Perpendicular/Hypotenuse 

And Cos A = Base/ Hypotenuse

So, Perpendicular= 8

And Base = 2

》 Tan A = Perpendicular/ Base 

               = 8/2

               = 4

There is an exercise named as 5.1 in RS Aggarwal Solutions Class 10 Maths Chapter 5 with 35 questions in all. Questions range from simplest to the toughest level.


RS Aggarwal Class 10 Maths Chapter 5: Preparation Tips

Students quite often face many problems while solving trigonometric ratios because of the confusing nature of the problems. Here we are with some tips to ease the whole process of understanding trigonometric Ratios. First of all, learn all the formulas of the topic. After learning the formulas refer to the Solutions from RS Aggarwal available for free at Vedantu. Solutions are prepared in more than one type because trigonometric ratios can be tackled in more than one possible way. Students should refer to RS Aggarwal Solutions Class 10 Maths Ch 5 to widen the horizon of their thinking ability. Solutions are easy to understand and less time consuming too. Students can understand the topics on their own without anybody’s aid.

Trigonometric ratios though not difficult to understand can appear confusing initially. But with continuous practice with RS Aggarwal Solutions Class 10, this confusion gets removed completely.

The best way to practice is:

i. Solve the problem on your own. 

ii. Check with the solution.

iii. Rectify and redo, if required - this time in a time-specific manner. 

RS Aggarwal Class 10 Ch 5 Solutions clears your confusion and helps you to score well in the board examination.


Steps to Leverage Trigonometric Ratios Solutions for RS Aggarwal Class 10 Chapter 5 for Competitive Exams

  • A lot of students who take up Maths in Class 10 opt for competitive and engineering exams

  • RS Aggarwal’s Trigonometric Ratios Solutions for class 10 will act as the right guidebook

  • Go through each of the solved problems in the book

  • Practice them in a notebook and re-attempt the ones that you get wrong

  • Highlight the sums that need more practice in some colour

  • Time yourself while you sit down to solve a set of questions

  • Then evaluate your learning by checking how you’ve fared in the tests

  • Revise those sums before appearing for competitive examinations.

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FAQs on RS Aggarwal Class 10 Solutions - Trigonometric Ratios

1. Where can I find the correct solutions for all exercises in RS Aggarwal Class 10 Maths Chapter 5, Trigonometric Ratios?

Vedantu provides detailed, step-by-step solutions for all exercises in RS Aggarwal Class 10 Chapter 5, covering Trigonometric Ratios. These solutions are prepared by subject matter experts and follow the latest CBSE 2025-26 guidelines, ensuring you learn the correct methodology for your exams. They cover all problems from every exercise in the chapter.

2. How do the RS Aggarwal solutions help with problems involving specific angles like 30°, 45°, and 60°?

The solutions demonstrate the precise method for substituting the values of trigonometric ratios for standard angles (e.g., sin 45°, cos 60°, tan 30°) into equations. Each step is clearly explained, showing how to simplify the expressions to arrive at the final answer, which is crucial for scoring full marks in board exams.

3. Why is it important to show every step when solving trigonometry problems, as demonstrated in the RS Aggarwal solutions?

Showing every step is crucial for several reasons. Firstly, it helps in tracking your logic and easily identifying any errors. Secondly, in CBSE board exams, marks are often allotted for intermediate steps, not just the final answer. Following the detailed method in the solutions ensures you learn how to present your answers correctly to maximise your score.

4. How are questions on complementary angles solved in RS Aggarwal Class 10 Chapter 5?

The solutions for problems on complementary angles show how to apply identities like sin(90° - θ) = cos θ and tan(90° - θ) = cot θ. The step-by-step process illustrates how to transform the given trigonometric ratios to simplify the problem, a common technique required for solving questions from this topic.

5. What are common mistakes to avoid when solving problems from Chapter 5, Trigonometric Ratios?

Students often make mistakes in the following areas:

  • Incorrectly recalling the values of trigonometric ratios for standard angles.
  • Applying the wrong ratio (e.g., using sin instead of cos).
  • Calculation errors when simplifying fractions or square roots.
  • Not simplifying the final answer to its lowest terms.

By referring to Vedantu's RS Aggarwal solutions, you can cross-check your method and learn to avoid these common pitfalls.

6. How do the solutions for this chapter help in understanding the next topic, Trigonometric Identities?

This chapter introduces the fundamental relationships between sine, cosine, and tangent (e.g., tan θ = sin θ / cos θ). The RS Aggarwal solutions repeatedly use these foundational concepts to solve problems. Mastering these applications makes it much easier to understand and prove more complex identities, like sin²θ + cos²θ = 1, in subsequent chapters.

7. What is the best way to use the RS Aggarwal solutions for effective exam preparation?

The most effective method is to first attempt to solve the problems from the RS Aggarwal textbook on your own. Afterwards, use the Vedantu solutions to verify your answers and, more importantly, to understand the most efficient and accurate solving method. This approach helps identify your weak areas and improves your problem-solving speed for the board exams.