1. Trigonometric Functions & Graphs | Finding parameters of a cosine function, determining minimum values and corresponding x-coordinates. 2. Differentiation & Curve Analysis | Finding stationary points, sketching function graphs, solving for unique solutions. 3. Circle Geometry & Areas | Finding angles in radians, calculating perimeters and areas of intersecting circles. 4. Functions & Inverses | Determining function domains and ranges, solving inverse functions, graphing transformations. 5. Trigonometric Identities & Integrals | Proving identities, differentiating trigonometric functions, evaluating definite integrals. 6. Binomial Expansions | Expanding algebraic expressions, finding specific terms in expansions. 7. Rates of Change & Logarithms | Differentiating logarithmic functions, interpreting rate changes in context. 8. Tangents & Midpoints | Finding tangent equations, determining intersections with axes, calculating midpoints. 9. Integration & Areas | Finding areas enclosed between curves and lines, expressing results in logarithmic form. 10. Sequences & Progressions | Solving arithmetic and geometric progression problems, determining conditions for infinite sums.