9709/12 · Oct/Nov 2023

Binomial expansion: find a constant so one coefficient is a multiple of another.

Exact value from an equation with inverse tan and inverse cos.

Normal to a curve from its gradient function, then the curve by integration.

Perimeter of a shape built from circular arcs, and an exact area.

Geometric progression with trigonometric terms: find an angle, then a sum.

Minimum point of a quadratic, then its image after a stretch and a translation.

Prove a trigonometric identity and use it to solve an equation.

Inverse function, its domain and range, and a composite function equation.

Where two curves meet, then the area of the region between them.

Stationary points, their nature, and where the function is increasing.

Perpendicular lines, a circle through three points, and a tangent.