Welcome to the Class 10 Trigonometry Ex 8.4 Solutions page! In this exercise, you’ll practice solving problems involving the identities of trigonometric ratios. These NCERT solutions are designed to help you understand each step clearly and build a strong foundation in trigonometry. Whether you’re preparing for exams or just revising the chapter, these step-by-step answers will make learning easy and effective. Let’s dive into Exercise 8.4 and master the concepts!
Class 10 Trigonometry Ex 8.4 Solutions-Text Book
Ex 8.4 Class 10 Maths Question 1.
1. Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.
Solution:
Ex 8.4 Class 10 Maths Question 2.
Write all the other trigonometric ratios of ∠A in terms of sec A.
Solution:
Ex 8.4 Class 10 Maths Question 3.
Evaluate:
Solution:
Ex 8.4 Class 10 Maths Question 4.
Choose the correct option. Justify your choice.
(i) 9 sec² A – 9 tan² A = ……
(A) 1
(B) 9
(C) 8
(D) 0
(ii) (1 + tan θ + sec θ) (1 + cot θ – cosec θ) = ………..
(A) 0
(B) 1
(C) 2
(D) -1
(iii) (sec A + tan A) (1 – sin A) = ………….
(A) sec A
(B) sin A
(C) cosec A
(D) cos A
(A) sec² A
(B) -1
(C) cot² A
(D) tan² A
Solution:
Ex 8.4 Class 10 Maths Question 5.
Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
Solution:
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Conclusion:
In this exercise, we explored the application of fundamental trigonometric identities to solve a variety of questions. Exercise 8.4 from Class 10 Maths Chapter 8 – Introduction to Trigonometry primarily focuses on using identities
Understanding and applying these identities correctly is essential for solving the problems in this exercise. Each question in Ex 8.4 helps reinforce your ability to transform and simplify trigonometric expressions, which is a key skill not just in board exams but also in higher-level math studies.
These NCERT Solutions for Class 10 Maths Exercise 8.4 are prepared in a clear and step-by-step manner, making it easier for students to grasp the logic behind each step. If you’re aiming to score well in mathematics, regular practice of such problems will help you build accuracy and confidence.
Also, always try to understand why a certain identity is used instead of just memorizing the steps. This approach enhances your conceptual clarity and prepares you better for tricky or twisted questions in the exam.
If you face difficulty with any question, don’t hesitate to go back to the basic definitions of sine, cosine, tangent, etc., and revise the trigonometric identities. With consistent revision and practice, mastering this chapter is absolutely achievable.
Keep practicing more questions and explore other exercises of the chapter to strengthen your trigonometry skills. Don’t forget to check out other chapters and solutions on our website for complete preparation.
Happy Learning! 😊 Class 10 Trigonometry Ex 8.4 Solutions
📘 Math & Science Solutions by Class
🔹 Class 10
🔹 Class 9
🔹 Class 8
🔹 Class 7
🔹 Class 6
🔹 Class 12
🔹 Class 11
- Class 11 Math Solutions
- Class 11 Physics Solutions
- Class 11 Chemistry Solutions
- Class 11 Biology Solutions
For the official Class 10 Mathematics Solutions, you can visit:
- NCERT Textbooks (for Class 10):