Mathematics 9709,12 Oct Nov 2024

1. Trigonometric Functions & Graph Analysis | Identifying parameters in a sinusoidal function, solving equations graphically, and determining solution counts.

2. Arithmetic Progressions & Summation | Calculating the sum of an arithmetic series, solving for unknown terms given sum conditions.

3. Gradients & Tangents | Finding the gradient of a secant line, deducing the instantaneous gradient at a point on a curve.

4. Binomial Expansion & Independent Terms | Finding the term independent of \\\\(x\\\\) in binomial expansions of algebraic expressions.

5. Inverse Functions & Graph Transformations | Finding and sketching the inverse function of a given quadratic, solving composite function equations.

6. Circular Geometry & Sector Properties | Finding radius and angle of a sector given perimeter and area conditions.