Pythagoras’ theorem and trigonometry
use of Pythagoras’ theorem
determining whether a triangle is right-angled given the lengths of three sides
use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles
extending sine and cosine to obtuse angles
use of the formula 1/2 ab sin C for the area of a triangle
use of sine rule and cosine rule for any triangle
problems in two and three dimensions including those involving angles of elevation and depression and bearings