Introduction to Trigonometry — Syllabus
Madhya Pradesh Board · Class 10 · Mathematics
What Introduction to Trigonometry covers in Madhya Pradesh Board Class 10 Mathematics: 4 topics, for the 2026-27 session.
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Topics in Introduction to Trigonometry
1. Basics of Trigonometric Ratios
- In a right triangle, the side opposite to angle A is BC, the side adjacent to angle A is AB, and the hypotenuse is AC.
- The six trigonometric ratios are sin A, cos A, tan A, cosec A, sec A, and cot A.
- sin A = BC/AC, cos A = AB/AC, tan A = BC/AB.
2. Values for Specific Angles
- The standard angles are 0°, 30°, 45°, 60°, and 90°.
- sin 0° = 0 and cos 0° = 1 are defined values.
- sin 90° = 1 and cos 90° = 0 are defined values.
3. Trigonometric Identities
- A trigonometric identity is an equation involving trigonometric ratios that is true for all values of the angle(s) involved.
- The fundamental identity is cos^2 A + sin^2 A = 1.
- Dividing the Pythagoras theorem by AB^2 gives 1 + tan^2 A = sec^2 A.
4. Solved Examples to Revise
- If tan A = 4/3, then the other ratios are sin A = 4/5, cos A = 3/5, cot A = 3/4, cosec A = 5/4, sec A = 5/3.
- If sin A = 1/3, then BC:AC = 1:3 and AB = 2√2 k using Pythagoras theorem.
- If AB = 29 and BC = 21 in a right triangle with right angle at C, then AC = 20.
Key Concepts
Central concept: Trigonometry: study of relationships between the sides and angles of a triangle
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