Introduction to Trigonometry
Gujarat Board · Class 10 · Mathematics
Quick revision notes for Introduction to Trigonometry — Gujarat Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Basic Concepts and Definitions
- Trigonometry deals with relationships between sides and angles of right triangles
- In a right triangle, we identify three sides: hypotenuse (longest side), side opposite to angle, and side adjacent to angle
- Position of opposite and adjacent sides changes based on which angle we consider
Six Trigonometric Ratios
- There are six trigonometric ratios: sin, cos, tan, cosec, sec, cot
- Cosec, sec, and cot are reciprocals of sin, cos, and tan respectively
- tan A = sin A / cos A and cot A = cos A / sin A
Trigonometric Ratios of Standard Angles
- Standard angles are 0°, 30°, 45°, 60°, and 90°
- Values derived from special triangles: 45-45-90 and 30-60-90 triangles
- As angle increases from 0° to 90°, sin increases and cos decreases
Trigonometric Identities
- Trigonometric identities are equations true for all valid angle values
- Three fundamental identities derived from Pythagoras theorem
- Used to simplify expressions and solve equations
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