Trigonometry
Telangana Board · Class 10 · Mathematics
Quick revision notes for Trigonometry — Telangana Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Introduction and Naming Sides in Right Triangles
- Trigonometry helps measure heights, distances, and slopes using triangle properties
- In a right triangle ABC with right angle at B: AC is hypotenuse, BC is opposite side to angle A, AB is adjacent side to angle A
- The hypotenuse is always the longest side opposite to the right angle
Trigonometric Ratios
- Six trigonometric ratios: sin, cos, tan, cosec, sec, cot
- First three (sin, cos, tan) are primary ratios
- Last three (cosec, sec, cot) are reciprocals of the first three
Trigonometric Ratios of Specific Angles
- Standard angles: 0°, 30°, 45°, 60°, 90°
- Values derived from special triangles: 45°-45°-90° and 30°-60°-90°
- sin 0° = 0, sin 30° = 1/2, sin 45° = 1/√2, sin 60° = √3/2, sin 90° = 1
Trigonometric Ratios of Complementary Angles
- Two angles are complementary if their sum is 90°
- sin (90° - A) = cos A and cos (90° - A) = sin A
- tan (90° - A) = cot A and cot (90° - A) = tan A
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