Reduction formulae, using sketches, special angles, identities, complementary angles, proving identities, trig equations: general solution, quadratic trig equations, compound angles, double angles, 2D trig, 3D Trig, proof of sine, cosine, and area rules, and trig graphs.

Proportionality Theories - Theorem 1, converse and proof, midpoint theorem and converse, equiangular triangles - theorem 2, converse and proof, sides of triangle in proportion - theorem 3, proof and corollaries, area of triangle proportional to base - triangles between two parallel lines and triangles with same base and same height.

Includes exterior angels, phythag, similar triangles, congruency, interior angels, quadrilaterals - properties of parallelogram, rhombus, square, rectangle, trapezium, kite, polygons, midpoint theorem, and circle terminology.

Diagram and proof of theorem 1, Diagram of theorem 2 and 3, diagram and proof of theorem 4, diagram of theorem 5 and 6, cyclic quadrilaterals - theorem 7 and 8 and proof of theorem 7, theorem 9, 10, 11 and proof of theorem 10 involving tangents. As well as hints for geometry questions.