Exercise 8.2 Class 10 Maths NCERT Solutions for Chapter 8 - Free PDF Download
NCERT Solutions for Class 10 Maths Chapter 8 Introduction To Trigonometry Ex 8.2
FAQs on NCERT Solutions for Class 10 Maths Chapter 8 Introduction To Trigonometry Ex 8.2
1. What are the main trigonometric ratios introduced in NCERT Solutions for Class 10 Maths Chapter 8 Exercise 8.2?
The main trigonometric ratios covered in NCERT Solutions for Class 10 Maths Chapter 8 Exercise 8.2 are sin (sine), cos (cosine), tan (tangent), cosec (cosecant), sec (secant), and cot (cotangent), evaluated for standard angles such as 0°, 30°, 45°, 60°, and 90°, as per the CBSE 2025–26 syllabus.
2. How do you find the value of a trigonometric ratio using NCERT Solutions for Class 10 Maths Chapter 8?
To find the value of a trigonometric ratio in NCERT Solutions for Class 10 Maths Chapter 8, follow these steps:
- Identify the required angle and function (e.g., sin 30°)
- Refer to the standard ratios table
- Substitute the established value (e.g., sin 30° = 1/2)
- Solve as per the question, following CBSE guidelines
3. Why is understanding trigonometric identities important for Class 10 students?
Trigonometric identities are crucial as they allow students to simplify complex expressions, prove mathematical statements, and solve equations efficiently. Mastery of these identities in Class 10 forms the foundation for future problems involving heights, distances, and advanced mathematics topics.
4. How many questions are there in Exercise 8.2 of NCERT Solutions for Class 10 Maths Chapter 8?
Exercise 8.2 of NCERT Solutions for Class 10 Maths Chapter 8 contains four questions as per the latest CBSE textbook, including short answer, long answer, and multiple-choice types.
5. What are common mistakes students make when solving trigonometric ratio problems in Class 10?
Common errors include:
- Confusing trigonometric values of standard angles
- Using the incorrect identity or formula
- Calculation errors during simplification
- Neglecting to check angle units (degrees vs radians)
6. In what scenarios does the trigonometric function become undefined in NCERT Solutions for Class 10 Maths Chapter 8?
Some trigonometric functions are undefined for specific angles. For example, tan 90° and cot 0° are undefined, as their denominator becomes zero. Awareness of such restrictions is emphasized in the CBSE curriculum.
7. What is the benefit of practicing all types of questions in Exercise 8.2 for board exams?
Practicing every question type—short, long, and MCQ—in Exercise 8.2 builds confidence, strengthens conceptual clarity, and prepares students for the variability seen in actual CBSE exams, improving overall scores in mathematics.
8. How can you apply trigonometric ratios from Class 10 Chapter 8 to real-life situations?
Trigonometric ratios are used to calculate unknown heights, distances, and angles in fields like engineering, navigation, surveying, and architecture, which the NCERT Solutions introduce for foundational understanding.
9. What are the exact values of sin, cos, and tan for standard angles as per NCERT Solutions Class 10 Maths Chapter 8?
The exact values as per NCERT Solutions for Class 10 Maths Chapter 8 are:
- sin 0° = 0, sin 30° = 1/2, sin 45° = 1/√2, sin 60° = √3/2, sin 90° = 1
- cos 0° = 1, cos 30° = √3/2, cos 45° = 1/√2, cos 60° = 1/2, cos 90° = 0
- tan 0° = 0, tan 30° = 1/√3, tan 45° = 1, tan 60° = √3, tan 90° = undefined
10. What if two trigonometric expressions appear to be equal for some angles but not all? How do NCERT Solutions help clarify?
NCERT Solutions teach that trigonometric identities hold universally, while some expressions (like sin A + sin B = sin(A+B)) may work only for specific values. Example-based justifications in the solutions show differences between identities and mere coincidences, deepening conceptual understanding as required by the CBSE exam pattern.
11. Can questions from solved examples in Exercise 8.2 appear in the CBSE board exams?
Yes, CBSE board exams often use patterns similar to solved examples in NCERT Solutions for Class 10 Maths Chapter 8 Exercise 8.2, sometimes changing the numbers but keeping the core concept. Practicing examples ensures students are familiar with such trends.
12. How do you verify the correctness of answers in trigonometric calculations according to NCERT Solutions?
To verify correctness,
- Cross-check trigonometric values with standard tables
- Substitute angle values back into the original expression
- Review calculations for arithmetic errors
13. Why is it important to learn the complementary angle relationships in trigonometry in Class 10?
Complementary angle relationships (like sin(90°–A) = cos A) are essential because they:
- Simplify complicated questions
- Help in application-level problems
- Form the basis for higher-level trigonometry and coordinate geometry

















