8. INTRODUCTION TO TRIGONOMETRY
Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. The chapter introduces trigonometric ratios and identities, discussing the significance of sine, cosine, tangent, and their reciprocals. Additionally, it explores the values of trigonometric functions for specific angles and various trigonometric identities.
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What we have learnt
- Trigonometric ratios for right angles include sine, cosine, and tangent as well as their reciprocal identities.
- Specific values of trigonometric ratios for common angles of 0°, 30°, 45°, 60°, and 90°.
- Key trigonometric identities such as sin²A + cos²A = 1 and relationships between different trigonometric ratios.
Key Concepts
- -- Trigonometric Ratios
- The ratios defined from the sides of a right triangle such as sine, cosine, tangent, cosecant, secant, and cotangent.
- -- Trigonometric Identities
- Equations that hold true for all angles, such as sin²A + cos²A = 1, which predict properties of angles and their trigonometric functions.
- -- Specific Angles
- Trigonometric ratios take specific values for angles 0°, 30°, 45°, 60°, and 90°, providing essential reference points in trigonometry.
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