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IGCSE - USEFUL FORMULAS, compound, addition of polygon, addition of…
IGCSE - USEFUL FORMULAS
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Geometry
Area
Circle: π × r²
Triangle: b × h : 2
Rectangle: length × width
Parallelogram: base × height
Trapezium: sum of parallel sides/2 × height
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Trigonometry
Right angled triangles:
- Phythagoras: A² = B² + C²
- SOH: Sin {°} = Opp / Hip
- CAH: Cos {°} = Adj / Hip
- TOA: Tan {°} = Opp / Adj
- a° + b° + c° = 180°
Non right angled triangles:
~ Sin Rule:
For sides: C/ sin c = B/sin b = A/sin a
For angles: sin c/C = sin b/B = sin a/A
~ Cosine Rule:
A² = B² + C² - 2. B. C. Cos a°
Cos ‐1 (A² - B² - C² / -2. B. C) = a°
~ a° + b° + c° = 180°
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Sequences
1) Find the constant difference.
2) Use the difference =
| difference | . n + | previous to the first |
3) Check.
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