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
1. Basic Idea and Naming the Sides
- A right-angled triangle is the basic figure used for defining trigonometric ratios.
- In triangle ABC with right angle at B, AC is the hypotenuse, BC is the side opposite angle A, and AB is the side adjacent to angle A.
- The same side can change its name when the reference angle changes.
2. Six Trigonometric Ratios
- There are three main ratios: sin, cos, tan.
- Their multiplicative inverses are cosec, sec, and cot.
- These ratios are defined for an acute angle in a right-angled triangle.
3. Standard Values of Trigonometric Ratios
- Special angles 0°, 30°, 45°, 60°, and 90° have fixed ratio values.
- These values are very important for direct questions and for simplification.
- sin A and cos A never exceed 1.
4. Complementary Angle Relations
- Two angles are complementary if their sum is 90°.
- In a right triangle, the two acute angles are complementary.
- Trigonometric ratios of complementary angles are related in pairs.
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