Mathematics 9709,13 Oct Nov 2024

1. Arithmetic and Geometric Progressions | Finding the 30th term of an arithmetic progression and calculating possible sums to infinity of a geometric progression.

2. Trigonometric Equations and Identities | Solving trigonometric equations involving sine and cosine, and proving given identities.

3. Binomial Expansion and Coefficients | Finding coefficients of specific terms in an expansion and determining unknown constants.

4. Graph Transformations and Functions | Describing a sequence of transformations applied to a function and finding an algebraic expression for the transformed function.

5. Circle Geometry and Equations | Proving that a circle′s center lies on a given line and finding possible equations of the circle.

6. Calculus and Curve Analysis | Differentiating functions, finding stationary points, determining their nature, and solving problems involving tangents to curves.