Mathematics: Analysis and Approaches SL
Geometry and trigonometry
Radians, trigonometric functions, triangle methods, identities, equations, graph transformations, and geometric reasoning.
Use radians, arc length, and sector area
Convert common degree measures to radians and use exact radian values for arc length and sector area.
Solve right-triangle trigonometry problems
Use sine, cosine, and tangent ratios in labelled right-triangle diagrams and explain the side relationships.
Use sine rule and cosine rule
Choose and apply the sine rule, cosine rule, and triangle area formulae with clear formula reasoning.
Use exact trigonometric values
Evaluate exact trigonometric ratios using reference angles, quadrant signs, and the unit circle.
Prove and use trigonometric identities
Use core trigonometric identities to connect exact ratios and justify each algebraic step.
Solve trigonometric equations
Solve exact trigonometric equations over a specified interval using reference angles and quadrant signs.
Graph trigonometric functions
Sketch and interpret sine, cosine, and tangent graphs, including amplitude, period, and key values.