Trigonometry — Syllabus
Maharashtra Board · Class 10 · Mathematics
What Trigonometry covers in Maharashtra Board Class 10 Mathematics: 4 topics, for the 2026-27 session. Topics include Basic Trigonometric Ratios.
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Topics in Trigonometry
Basic Trigonometric Ratios
- In a right-angled triangle, the three main ratios are sine, cosine, and tangent.
- For the triangle in Fig. 6.2, sinθ = AB/AC, cosθ = BC/AC, and tanθ = AB/BC.
- These ratios depend on the angle, not on the size of the triangle, as long as the angle stays the same.
Reciprocal Ratios
- cosecθ, secθ, and cotθ are the reciprocal ratios of sinθ, cosθ, and tanθ.
- cosecθ = 1/sinθ, secθ = 1/cosθ, and cotθ = 1/tanθ.
- In the triangle form, cosecθ = hypotenuse/opposite side, secθ = hypotenuse/adjacent side, and cotθ = adjacent side/opposite side.
Fundamental Trigonometric Identities
- The three fundamental identities are obtained from the basic ratios and Pythagoras theorem.
- Identity II is sin²θ + cos²θ = 1.
- Identity III is 1 + cot²θ = cosec²θ.
Values of Trigonometric Ratios for Standard Angles
- The values for 0°, 30°, 45°, 60°, and 90° are very important.
- sin 30° = 1/2.
- sinθ at 0°, 30°, 45°, 60°, 90° is 0, 1/2, 1/√2, √3/2, 1.
Key Concepts
Central concept: Trigonometry
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