High School Mathematics Summary
1. Algebra
- Simplifying expressions: a(b + c) = ab + ac
- Solving equations: 2x + 3 = 7 => x = 2
- Quadratic equations: ax^2 + bx + c = 0 => x = (-b ± sqrt(b^2 - 4ac)) / 2a
2. Geometry
- Triangle: sum of angles = 180 degrees
- Circle: Area = pi * r^2, Circumference = 2 * pi * r
- Pythagoras theorem: a^2 + b^2 = c^2
3. Trigonometry
- sin(theta) = opposite / hypotenuse
- cos(theta) = adjacent / hypotenuse
- tan(theta) = opposite / adjacent
- sin^2(theta) + cos^2(theta) = 1
4. Formulas & Tips
- Area of rectangle: length * width
- Area of triangle: 1/2 * base * height
- Quadratic formula for solving equations
- Factorization simplifies expressions
1. Algebra
- Simplifying expressions: a(b + c) = ab + ac
- Solving equations: 2x + 3 = 7 => x = 2
- Quadratic equations: ax^2 + bx + c = 0 => x = (-b ± sqrt(b^2 - 4ac)) / 2a
2. Geometry
- Triangle: sum of angles = 180 degrees
- Circle: Area = pi * r^2, Circumference = 2 * pi * r
- Pythagoras theorem: a^2 + b^2 = c^2
3. Trigonometry
- sin(theta) = opposite / hypotenuse
- cos(theta) = adjacent / hypotenuse
- tan(theta) = opposite / adjacent
- sin^2(theta) + cos^2(theta) = 1
4. Formulas & Tips
- Area of rectangle: length * width
- Area of triangle: 1/2 * base * height
- Quadratic formula for solving equations
- Factorization simplifies expressions
