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# Introduction to Trigonometry
Introduction to Trigonometry is chapter 8 in Mathematics, a CBSE Class 10 book for the subject Mathematics on Edzy.

## Knowledge Snapshot
| Field | Details |
| :--- | :--- |
| Board | CBSE |
| Curriculum | CBSE |
| Class | Class 10 |
| Subject | Mathematics |
| Book | Mathematics |
| Chapter | Introduction to Trigonometry |
| Chapter Number In Book | 8 |
| Chapter Slug | introduction-to-trigonometry |
| Pages | 113-132 |
| Page Count | 20 |
| Source PDF | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/5f6b6319-dc3d-471a-970d-9349fae4d6d2.pdf |
| Last Updated | 2026-06-25 |

## Chapter Overview
In this chapter, we will study the trigonometric ratios of the angles of a right triangle and also explore the trigonometric ratios for angles 0° and 90°. Further, we will establish some identities involving these ratios, termed trigonometric identities.

## Topic Inventory
| No. | Topic ID | Topic |
| :--- | :--- | :--- |
| 1 | 69f978a2054e99e3981def96 | Trigonometric Ratios |
| 2 | 69f978a2054e99e3981defa6 | Trigonometric Ratios of Some Specific Angles |
| 3 | 69f978a2054e99e3981defb0 | Trigonometric Identities |
| 4 | 69f978a3054e99e3981defca | Summary |

## Topic-Wise Extracted Content
### Trigonometric Ratios
The trigonometric ratios of an angle A in right triangle ABC are defined as follows:
- sine of ∠A = side opposite to angle A / hypotenuse AC = sin A
- cosine of ∠A = side adjacent to angle A / hypotenuse AC = cos A
- tangent of ∠A = side opposite to angle A / side adjacent to angle A = tan A
- cosecant of ∠A = 1 / sin A = csc A
- secant of ∠A = 1 / cos A = sec A
- cotangent of ∠A = 1 / tan A = cot A
The ratios cosec A, sec A, and cot A are the reciprocals of sin A, cos A, and tan A, respectively.

### Trigonometric Ratios of Some Specific Angles
1. **Trigonometric Ratios of 45°**:
   - sin 45° = 1/√2
   - cos 45° = 1/√2
   - tan 45° = 1
   - cosec 45° = √2
   - sec 45° = √2
   - cot 45° = 1

2. **Trigonometric Ratios of 30°**:
   - sin 30° = 1/2
   - cos 30° = √3/2
   - tan 30° = √3/3
   - cosec 30° = 2
   - sec 30° = 2/\√3
   - cot 30° = √3

3. **Trigonometric Ratios of 60°**:
   - sin 60° = √3/2
   - cos 60° = 1/2
   - tan 60° = √3
   - cosec 60° = 2/√3
   - sec 60° = 2
   - cot 60° = 1/√3

4. **Trigonometric Ratios of 0° and 90°**:
   - sin 0° = 0
   - cos 0° = 1
   - sin 90° = 1
   - cos 90° = 0

### Trigonometric Identities
The chapter discusses various trigonometric identities that relate different trigonometric ratios. Key identities include:
- sin²A + cos²A = 1
- tanA = sinA/cosA
- cotA = 1/tanA
- secA = 1/cosA
- cosecA = 1/sinA

## Chapter Summary
The chapter provides a comprehensive introduction to trigonometric ratios, specific angles, and the derivation of several key identities in trigonometry. This foundational knowledge is crucial for more advanced studies in mathematics and its applications.

## Key Ideas
- Trigonometry is derived from Greek words meaning "three, sides, measure".
- The study of right triangles provides fundamental relationships between side lengths and angles.
- Understanding specific angles (30°, 45°, 60°, 0°, and 90°) enhances comprehension of trigonometric functions.

## Important Chapter Facts
- The chapter is Introduction to Trigonometry.
- The chapter number in the book is 8.
- The subject is Mathematics.
- The book is Mathematics.
- The class is Class 10.
- The source PDF is https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/5f6b6319-dc3d-471a-970d-9349fae4d6d2.pdf.
- The chapter covers pages 113-132.
- The chapter page count is 20.
- The topic list contains the supplied topic entries.

## Related OKF Entities
| Entity Type | Title | URL |
| :--- | :--- | :--- |
| Chapter Canonical Page | Introduction to Trigonometry | https://www.edzy.ai/cbse-class-10-mathematics-introduction-to-trigonometry |
| Chapter Markdown | Introduction to Trigonometry | https://www.edzy.ai/okf/chapter/cbse-class-10-mathematics-introduction-to-trigonometry.md |
| Source PDF | Introduction to Trigonometry | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/5f6b6319-dc3d-471a-970d-9349fae4d6d2.pdf |

## Source Attribution
| Field | Value |
| :--- | :--- |
| Source | Edzy |
| Reference Type | examSubjectBookChapter |
| Reference ID | 69f869c0293c3123114dab4e |
| Chapter ID | 69f869c0293c3123114dab4e |
| Canonical URL | https://www.edzy.ai/cbse-class-10-mathematics-introduction-to-trigonometry |
| Markdown URL | https://www.edzy.ai/okf/chapter/cbse-class-10-mathematics-introduction-to-trigonometry.md |
| Source PDF | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/5f6b6319-dc3d-471a-970d-9349fae4d6d2.pdf |
| Last Updated | 2026-06-25 |