Trigonometry, Geometry and Vectors
Identities and equations, the geometry of lines and conics, and vectors in two and three dimensions.
01Trigonometric Functions, Identities and EquationsRadians, arc length and sector area, the reciprocal and Pythagorean identities, compound and double angle formulae, the R-formula for a cos θ + b sin θ, and a reliable method for solving trigonometric equations.100 questions02Coordinate GeometryDistance, midpoint and gradient, parallel and perpendicular lines, the equation of a circle in both forms, finding a centre and radius by completing the square, tangents and normals, and where a line meets a circle.100 questions03VectorsVectors in three dimensions, magnitude and unit vectors, the scalar product and what it measures, the angle between two vectors, the vector equation of a line, and how two lines in space can be related.100 questions