IB Mathematics Analysis and Approaches Geometry & Trigonometry Notes

SL 3.1—3d space, volume, angles, distance, midpoints

SL 3.2—2d and 3d trig, sine rule, cosine rule, area

SL 3.3—Angles of elevation and depression, bearings

SL 3.4—Circle, radians, arcs, sectors

SL 3.5—Unit circle definitions of sin, cos, tan. Exact trig ratios, ambiguous case of sine rule

SL 3.6—Pythagorean identity, double angles

SL 3.7—Circular functions, graphs, composites, transformations

SL 3.8—Solving trig equations

AHL 3.9—Reciprocal trig ratios and their pythagorean identities. Inverse circular functions

AHL 3.10—Compound angle identities

AHL 3.11—Relationships between trig functions

AHL 3.12—Vector definitions

AHL 3.13—Scalar (dot) product

AHL 3.14—Vector equation of line

AHL 3.15—Classification of lines

AHL 3.16—Vector product

AHL 3.17—Vector equations of a plane

AHL 3.18—Intersections of lines & planes