Grade 12
Mathematics
0/16 Topics completed
Sequences & series
Calculus
Functions
- 03Inverses & logarithmsInverse functions, y = log_b x, and solving exponential equations with logs.
- 08Cubic functions & graphsf(x) = ax³ + bx² + cx + d. Stationary points from f' = 0, concavity from f'', intercepts and sketch.
- 13Inverse functionsSwap x and y, then solve for y. f⁻¹ exists as a function when f is one-to-one. Reflection in y = x.
Finance
Probability
Trigonometry
- 06Compound anglessin(A±B), cos(A±B), double angles, and 3D trigonometry.
- 113D trigonometryAngle of elevation/depression, a line of greatest slope, and combining two right triangles that share an edge.
- 15Area, sine and cosine rulesArea = ½ab sin C. Sine rule a/sin A = 2R. Cosine rule c² = a² + b² − 2ab cos C. Paper 2, non-right triangles.