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RS Aggarwal Class 10 Solutions - Trigonometric Ratios

RS Aggarwal Solutions

RS Aggarwal Class 10 Solutions - Trigonometric Ratios

Last updated date: 23rd Apr 2024

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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.

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.

FAQs on RS Aggarwal Class 10 Solutions - Trigonometric Ratios

1. How do I build a solid foundation for class 11 and class 12 Trigonometry?

You can go to Vedantu and look for Trigonometric Ratios Solutions for RS Aggarwal Class 10 Chapter 5.

This book has step by step approach to learning trigonometry and has ample solved problems to scan and then practice from. It has enough solutions to guide you and teach you the strategies that you need to know. A methodical manner of explaining trigonometrical ratios, this book is a hit among the class 10 students who are looking to strengthen their base. If they understand the chapter now with the right amount of practice, they will do exceptionally in their exams.

2. Who has created the Trigonometric Ratios Solutions for RS Aggarwal Class 10 Chapter 5?

The book of solutions has been crafted by RS Aggarwal and the other subject matter experts who have a sound understanding of the subject.

Vedantu only has the most reliable of teachers on its platform as it delivers quality education material to the students. These experts only include the matter that’s most necessary and in tandem with the CBSE guidelines issued. The book is the perfect guide for all those maths freaks as well as for those who love the subject.

3. How do I understand the sums that might come on Sin, Cos, and Tan in CBSE Class 10 maths?

You can look for Trigonometric Ratios Solutions for RS Aggarwal Class 10 Chapter 5 on Vedantu. This book has sums related to Sin, cos, and tan and will also shed light on how those are related by making you solve the problems. The solutions have been provided for your convenience so that you can scan those properly and then apply them while solving such problems. Trigonometrical ratios are not complex but need proper understanding for the later classes. It will seem quite interesting once you have gone through the book of solved problems.

4. How do I download a free copy of Trigonometric Ratios Solutions for RS Aggarwal Class 10 Chapter 5?

You can do so by going to Vedantu and then clicking on Trigonometric Ratios Solutions for RS Aggarwal Class 10 Chapter 5. Once it appears, you just have to click on the PDF download button that pops up. It will get downloaded after confirming your e-mail with you. Vedantu makes it so much smoother to access the study material of your choice by offering free-of-cost material to the students. It only aims to educate as many students as it can so that no one gets deprived of educating themselves. You can read these PDFs even when you don’t have access to the internet.

5. What are some of the important formulas of Trigonometric Ratios Solutions for RS Aggarwal Class 10 Chapter 5?

Some of the important formulas have been covered in this book of solved problems. All helpful formulas that are vital for the students to know about have been covered in this chapter. This book is a blessing for those who are struggling to remember formulas of trigonometrical ratios and tend to get confused. By practicing the different sums that are based on the relevant formulas, they will automatically recall them and be able to apply those in tests. Make a list of every formula that the sums are based on as those have a higher chance of coming for the exams.