Trigonometry
Kerala Board · Class 10 · Mathematics
Quick revision notes for Trigonometry — Kerala Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Special Right Triangles and Their Properties
- In a 45°-45°-90° triangle, both shorter sides are equal and the hypotenuse is √2 times the shorter side
- In a 30°-60°-90° triangle, sides are in the ratio 1 : √3 : 2
- These ratios remain constant regardless of the triangle's size
Trigonometric Ratios - Definitions and Basic Values
- Sine (sin) = Opposite side / Hypotenuse
- Cosine (cos) = Adjacent side / Hypotenuse
- Tangent (tan) = Opposite side / Adjacent side
Standard Trigonometric Values
- sin 0° = 0, sin 30° = 1/2, sin 45° = 1/√2, sin 60° = √3/2, sin 90° = 1
- cos 0° = 1, cos 30° = √3/2, cos 45° = 1/√2, cos 60° = 1/2, cos 90° = 0
- tan 0° = 0, tan 30° = 1/√3, tan 45° = 1, tan 60° = √3, tan 90° = undefined
Heights and Distances - Problem Solving
- Most problems involve finding height of objects (trees, buildings, towers)
- Key elements: observer's height, distance from object, angle of elevation/depression
- Always draw a clear diagram showing all given information
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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