Trigonometry
Maharashtra Board · Class 9 · Mathematics
Complete topic list for Trigonometry in Maharashtra Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Trigonometry
Introduction to Trigonometry and Basic Concepts
- Trigonometry helps measure distances and heights that cannot be measured directly
- It is based on right-angled triangles and uses Pythagoras theorem
- Similar triangles have proportional corresponding sides
Trigonometric Ratios
- Three basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan)
- Ratios remain constant for similar triangles with same angles
- Each ratio compares two sides of a right-angled triangle
Relations Among Trigonometric Ratios
- Complementary angle relationships: sin θ = cos(90° - θ)
- Basic identity: sin θ / cos θ = tan θ
- Product relationship: tan θ × tan(90° - θ) = 1
Trigonometric Ratios of Specific Angles
- Standard angles: 0°, 30°, 45°, 60°, 90°
- 30°-60°-90° triangle has sides in ratio 1 : √3 : 2
- 45°-45°-90° triangle has sides in ratio 1 : 1 : √2
Key Concepts
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