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NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3

NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 are created by askIITians experts to help you solve all the exercise questions easily. Chapter 8 of the Class 10 Maths NCERT textbook is about the introduction to trigonometry where you learn about trigonometric ratios of specific angles. The third exercise of this chapter is about finding the trigonometric ratios of complementary angles. You must learn the formulae of finding the trigonometric ratios of complementary angles to solve this exercise. Our NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 will help you understand how to answer each question of this exercise step by step. 

About NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3

Before you start solving Exercise 8.3 of Class 10 Maths Chapter 8, take note of the important points related to this exercise:

  • Complementary Angles: Two angles are called complementary angles if their sum is 90 degrees. So, to represent the complementary angle of an angle θ° we write it as (90-θ)°. 
  • Trigonometric ratios are given as:
    • sine= length of the leg opposite to the angle/ length of the hypotenuse
    • cosine= length of the leg adjacent to the angle/ length of the hypotenuse
    • tangent= length of the leg opposite to the angle / length of the leg adjacent to the angle
    • secant= length of hypotenuse / length of the leg adjacent to the angle
    • cosecant= length of hypotenuse/length of the leg opposite to the angle
    • secant= length of the leg adjacent to the angle / length of the leg opposite to the angle
  • Trigonometric ratios of complementary angles are given as:
    • sin (90° – A) = cos A
    • cos (90° – A) = sin A
    • tan (90° – A) = cot A
    • cot (90° – A) = tan A
    • sec (90° – A) = cosec A
    • cosec (90° – A) = sec A

NCERT Class 10 Maths Chapter 8 Ex 8.3 includes 7 questions whose solutions are available on our website for free. Let us see what kind of questions are included in this exercise:

Ex 8.3 Q1: In this question, you have to evaluate the given trigonometric ratios. You have to apply the formula for trigonometric ratios of complementary angles to solve this question. Check out our NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 and see how to solve this question step by step. 

Ex 8.3 Q2: In this question, you have to prove LHS = RHS using the formulae of trigonometry. Such questions are important from the exam perspective. Make sure you practice this question well enough. 

Ex 8.3 Q3: In the third question, you are given that tan 2A = cot (A – 18°) and you have to find the value of angle A. This question is easy to solve if you remember the trigonometric formulae of finding trigonometric ratios of complementary angles. We have provided a detailed solution to this question in our NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3. 

Ex 8.3 Q4: This question is also based on the direct formula of trigonometric ratios of complementary angles. In this question, you are given that tan A = cot B and you have to prove that A + B = 90°. 

Ex 8.3 Q5: In this question, you are given that sec 4A = cosec (A – 20°), where 4A is an acute angle. You have to find the value of A. Learn how to approach such questions in the exam with the help of our NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3. 

Ex 8.3 Q6: In this question, you have to prove that sin (B+C/2) = Cos A/2 for triangle ABC. It is an important question and will test how well you understand the concept of trigonometric ratios of complementary angles. 

Ex 8.3 Q7: The last question of this exercise asks you to express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°. Do you know how to solve this question? Match your answer with our solution given in the NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3. 

Download NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3

Trigonometry is an important yet new concept for Class 10 students. Therefore, it is important that you practice every exercise question carefully. Do not just memorise the steps of how to solve a question, instead focus on understanding the concept behind the solution. This way, you will be able to handle any kind of question in the CBSE Class 10 Maths board exam. Our NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 will be beneficial for you in many ways. Here are some important features of our NCERT Solutions for Trigonometric Ratios of Complementary angles: 

  • askIITians Maths experts have created the NCERT Solutions for Ex 8.3 of Chapter 8 Class 10 Maths based on the latest CBSE exam pattern and syllabus. 
  • These solutions include step by step answers so that you can understand how to solve a question related to finding trigonometric ratios of complementary angles. 
  • We have added easy explanations along with every answer so that you know which formula is being applied in the question to find the solution. 
  • You can download our NCERT Solutions in PDF form for free and learn at your own pace at any time. Our NCERT Solutions are prepared to promote independent learning in Class 10 students. 
  • These NCERT online solutions will solve all your doubts and queries related to trigonometric ratios of complementary angles and will help you prepare well for your exams. 

Download the NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 for free from the links given on the askIITians website and prepare well for your Class 10 CBSE board Maths exam. 

NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 FAQs

  1. How many exercises are there in Class 10 Maths Chapter 8 Introduction to Trigonometry? 

There are 4 exercises in NCERT Chapter 8 Introduction to Trigonometry of Class 10 Maths. Exercise 8.1 includes 11 questions. Exercise 8.2 has 4 questions. Exercise 8.3 has 4 questions and Exercise 8.4 has 5 questions. You can check our NCERT Solutions for Class 10 Maths Chapter 8 for detailed stepwise answers to each exercise question. 

  1. How to prepare NCERT Class 10 Maths Chapter 8 Introduction to Trigonometry? 

Start with revising all the important formulae and concepts of the chapter using our revision notes. You can also check our mind maps and flashcards for the chapter and practice some worksheets to ensure that you understand the concepts well. Then, start solving the NCERT exercises of chapter one by one. We have also prepared extra questions and important previous year questions for trigonometric ratios for your easy preparation. 

  1. Why should I download NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 by askIITians? 

These NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 are prepared by qualified faculty of askIITians. They include stepwise solutions for all the questions of the third exercise with comprehensive explanations. The solutions are based on the latest Class 10 Maths CBSE syllabus and exam guidelines. 


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