CBSE Class 10 Maths Chapter 8 – Introduction to Trigonometry (2026–27)
Master Chapter 8 – Introduction to Trigonometry with comprehensive study notes, NCERT solutions, exercise-wise solutions, MCQs, important questions, PDF downloads, and video lessons based on the latest CBSE Class 10 Mathematics (2026–27) syllabus. Learn about trigonometric ratios, trigonometric ratios of specific angles, complementary angles, and the relationships between trigonometric ratios through easy explanations and solved examples.
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Chapter Summary
Introduction to Trigonometry introduces students to the fundamental concepts of trigonometric ratios in right-angled triangles. This chapter explains the ratios of sine, cosine, tangent, cosecant, secant, and cotangent, along with the values of these ratios for standard angles. Students also learn the relationships between different trigonometric ratios and how these concepts form the foundation for solving real-life problems involving heights and distances.
By practicing NCERT exercises, solved examples, MCQs, and important questions, students can strengthen their mathematical reasoning and problem-solving skills while preparing effectively for the CBSE board examination.
Learning Outcomes
After completing this chapter, students will be able to:
- ✅ Understand the concept of trigonometric ratios.
- ✅ Identify the sides of a right-angled triangle.
- ✅ Calculate sine, cosine, tangent, cosecant, secant, and cotangent.
- ✅ Memorize trigonometric ratios of standard angles.
- ✅ Apply relationships between trigonometric ratios.
- ✅ Solve NCERT and board-level questions confidently.
- ✅ Build a strong foundation for applications of trigonometry.
- ✅ Prepare effectively for the CBSE board examination.
Key Topics
- 📐 Trigonometric Ratios
- 🔺 Right-Angled Triangle
- 📏 Trigonometric Ratios of Specific Angles
- 🔄 Complementary Angles
- 📘 Relationships Between Trigonometric Ratios
- 📊 Trigonometric Identities
- 🎯 Applications of Trigonometric Ratios
⭐ Study Resources
📝 Exercise Solutions
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📄 Study Notes
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🧠 Mind Map
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Formula Sheet
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📘 NCERT Solutions
Step-by-step solutions for every NCERT textbook exercise with clear explanations.
📘 Exemplar Solutions
Detailed solutions for NCERT Exemplar questions to strengthen higher-order thinking.
📑 Important Questions
Most expected board exam questions with detailed solutions and explanations.
❓ MCQs
Chapter-wise multiple-choice questions for concept reinforcement and quick revision.
🎥 Video Lessons
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📑 Competency Based Questions
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📄 PDF Notes
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📝Exercise-wise Solutions
📘 Exercise 8.1 – Trigonometric Ratios
Exercise 8.1 introduces the six trigonometric ratios—sin, cos, tan, cosec, sec, and cot. Students learn how to identify the sides of a right-angled triangle and calculate trigonometric ratios using step-by-step NCERT solutions and solved examples.
📘 Exercise 8.2 – Trigonometric Ratios of Some Specific Angles
Exercise 8.2 focuses on finding the values of trigonometric ratios for the standard angles 0°, 30°, 45°, 60°, and 90°. Students learn to evaluate sin, cos, tan, cosec, sec, and cot for these specific angles using geometric concepts and solve NCERT questions with step-by-step explanations. This exercise helps build a strong foundation for solving higher-level trigonometry problems and board examination questions.
📘 Exercise 8.3 – Trigonometric Identities
Exercise 8.3 covers the fundamental relationships among trigonometric ratios and helps students verify trigonometric identities using logical reasoning and step-by-step NCERT solutions. This exercise strengthens problem-solving skills and prepares students for board examination questions.
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❓ Frequently Asked Questions
1. What is Introduction to Trigonometry?
Introduction to Trigonometry is the study of the relationships between the angles and sides of a right-angled triangle. It introduces the six trigonometric ratios and forms the foundation for solving problems involving heights, distances, and angles.
2. How many exercises are there in Chapter 8?
Chapter 8 contains 3 exercises:
- 📘 Exercise 8.1 – Trigonometric Ratios
- 📘 Exercise 8.2 – Trigonometric Ratios of Some Specific Angles
- 📘 Exercise 8.3 – Trigonometric Ratios for Complementary Angles
3. What are the six trigonometric ratios?
The six trigonometric ratios are:
- 📐 Sine (sin)
- 📐 Cosine (cos)
- 📐 Tangent (tan)
- 📐 Cosecant (cosec)
- 📐 Secant (sec)
- 📐 Cotangent (cot)
4. Are these notes based on the latest CBSE syllabus?
Yes. All study notes, solutions, and learning resources are prepared according to the latest CBSE Class 10 Mathematics (2026–27) syllabus.
5. Are NCERT exercise solutions available?
Yes. Step-by-step solutions for Exercise 2.1 and Exercise 2.2 are available with detailed explanations.
6. Can I download the Chapter 8 notes as a PDF?
Yes. Free PDF notes and other downloadable study resources are available on this page.
7. Are MCQs and important questions included?
Yes. This chapter includes chapter-wise MCQs, important questions, and additional practice material for exam preparation.
8.Why is Chapter 8 important for the CBSE board examination?
Chapter 8 is one of the most important chapters in Class 10 Mathematics because it introduces the fundamental concepts of trigonometry. A strong understanding of trigonometric ratios, standard angles, and complementary angles is essential for solving questions from this chapter as well as Chapter 9 – Some Applications of Trigonometry, making it highly valuable for the CBSE board examination.
9. Are video lessons available for this chapter?
Yes. Video lessons are provided to help students understand each concept with clear explanations and solved examples.
10. Who can use these study resources?
These resources are suitable for CBSE Class 10 students, teachers, and parents looking for reliable notes, NCERT solutions, MCQs, PDFs, and revision material.
11. Which specific angles are covered in this chapter?
This chapter explains the trigonometric ratios of the standard angles 0°, 30°, 45°, 60°, and 90°, which are frequently used in CBSE board examinations.
12. Why are trigonometric ratios important?
Trigonometric ratios help solve problems involving the sides and angles of right-angled triangles and are widely used in mathematics, engineering, architecture, navigation, and physics.
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📖 Chapter 7 – Coordinate Geometry
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